Application of Chaos

The necessity of fulfilling the security requirements for digital images has encouraged the advancement of effective encryption techniques, where the choice of an appropriate chaotic system for producing the remote key is a critical step in establishing a strong and safe cryptosystem. To prove whether coupled chaotic systems have the advantage of improving cryptosystem security, we compared and assessed an image encryption application based on a coupled chaotic map with its seed maps, including the logistic-sine system (LSS), logistic, and sine maps. The encryption technique consists of two steps. The first step involves using a chaotic map to obtain the initial encryption key. The resulting key sequence is then XORed with grayscale image pixels to obtain the encrypted image in the second step. The comparison showed that the encryption method based on the standard sine map achieved a better performance than the coupled map in terms of speed and resilience to many forms of crypto-analysis threats with a large key space.

Збірник містить наукові статті членів Наукового Товариства імені Шевченка (НТШ) та учасників наукових сесій Філософської комісії Івано-Франківського осередку Наукового Товариства імені Шевченка (НТШ), що тематично стосуються філософських, релігієзнавчих, культурологічних та соціологічних проблем.
Для науковців, студентів, всіх, хто цікавиться філософським дискурсом.

In this paper, an encryption model for the grayscale and color images based on novel magic square, and differential encoding technique along with chaotic map has been proposed. The coordinate positions of the plain image have been randomized by implementing the 2D Arnold scrambling algorithm in confusion phase. The magic square constructed by a novel approach has been used to alter the pixel values of the original image. The differential encoding technique has been introduced in the model to raise the bit-level security. Further, the piece-wise linear chaotic map has been utilized in the diffusion phase to increase randomization for increasing the complexity. The visual analysis as well as histogram and correlation coefficient analysis has been performed to test the resistance of the proposed model against different kinds of statistical, entropy, and cropping attacks. The effect of information loss of the plain image hidden in the encrypted image has been investigated by trimming the one-third and one-fourth portion of the encrypted image. The pro

In the field of medicine, the preservation of medical confidentiality stands as paramount, for it directly influences the secure treatment and dissemination of medical data. Safeguarding against falsification or unauthorized access to patients' medical data, including medical images, is crucial. Conventional methods of image encryption, alongside chaos-based encryption techniques, prove insufficient in addressing the wide ranging demands for security and expediency. Consequently in this paper, we propose a pioneering hyper-chaotic logistic map characterized by a high Lyapunov dimension DL = 2.1886 and its rapid synchronization, which are used in biomedical image encryption, for the first time. This novel encryption method satisfies the most stringent security criteria, demonstrating remarkable resilience against various types of attacks, well in particular resilience against Statistical, Differential, Cipher-text, Noise, and Brute force attacks, as validated by compelling numerical values, we note a correlation coefficient spanning −1.8319 × 10−4 to 6.6977 × 10−4 and a vast key space of more than 2298. This well-established encryption duration ensures the shortest feasible encryption time, approximately 0.3 seconds for images of size 512x512. Finlay, in a comprehensive assessment, we showcase that our proposal satisfies strict security standards and surpasses the encryption techniques suggested by other researchers in terms of security and velocity.

In the field of medicine, the preservation of medical confidentiality stands as paramount, for it directly influences the secure treatment and dissemination of medical data. Safeguarding against falsification or unauthorized access to patients' medical data, including medical images, is crucial. Conventional methods of image encryption, alongside chaos based encryption techniques, prove insufficient in addressing the wide ranging demands for security and expediency. Consequently in this paper, we propose a pioneering hyper-chaotic logistic map characterized by a high Lyapunov dimension DL = 2.1886 and its rapid synchronization, which are used in biomedical image encryption, for the first time. This novel encryption method satisfies the most stringent security criteria, demonstrating remarkable resilience against various types of attacks, well in particular resilience against Statistical, Differential, Cipher-text, Noise, and Brute force attacks, as validated by compelling numerical values, we note a correlation coefficient spanning −1.8319 × 10−4 to 6.6977 × 10−4 and a vast key space of more than 2298. This well-established encryption duration
ensures the shortest feasible encryption time, approximately 0.3 seconds for images of size 512x512. Finlay, in a
comprehensive assessment, we showcase that our proposal satisfies strict security standards and surpasses the
encryption techniques suggested by other researchers in terms of security and velocity.

Рассмотрены различные методы анализа динамики диссипативных, слабо диссипативных и консервативных систем на примере отображения Икеды; предложен метод анализа консервативных систем-«карта разбегания». В ходе исследования выявлены серьезные изменения устройства плоскости параметров и фазовой плоскости при приближении к консервативному случаю. Предложены задачи, использование которых возможно на семинарах и в компьютерных практикумах.

We propose a novel methodology for forecasting chaotic systems which is based on the nearest-neighbor predictor and improves upon it by incorporating local Lyapunov exponents to correct for its inevitable bias. Using simulated data, we show that gains in prediction accuracy can be substantial. The general intuition behind the proposed method can readily be applied to other non-parametric predictors.

Представления о времени существенно различаются в философии игуманитарных науках с одной стороны и в математике и физико-математических науках – с другой стороны. Математика и физика традиционно концентрируют внимание на воспроизводимых периодических процессах, ориентируясь на прогнозирование их результата. Философия и гуманитарные науки в целом рассматривают время в большей степени как исторический невоспроизводимый поток неповторимых событий, формирующих историю, как уникальный сценарий развития. Актуальной научной проблемой является сближение обеих концепций, которое возможно на основе современных представлений о детерминированном хаосе. Для адекватного описания исторического времени целесообразно использовать предлагаемые понятия «динамическое множество», «истинное число», или «темпоральное число». Особенности протекания детерминированно-хаотических процессов с участием темпоральных чисел могут быть продемонстрированы на примере компьютерных моделей континуальных клеточных автоматов, правила перехода между состояниями которых включают нелинейность.

Most natural populations experience fluctuations in biological and environmental factors which causes carrying capacity variation. In this paper, we have introduced a diseased prey-predator model with periodically varying carrying capacity. We have studied the effects of different amplitudes of oscillaton as well as different frequencies of oscillation on the dynamics of the model. We have done bifurcation analysis of the model with respect to the amplitude of oscillation and frequency of oscillation of the carrying capacity. We observe limit cycle, low periodic orbits, high periodic orbits and chaos in the model. We observe the existence of critical frequency and amplitude of oscillation of carrying capacity for which the prey population extinct. Through bifurcation analysis we observe oscillatory coexistence of species in the model. Our results confirm that amplitude and frequency of oscillation of carrying capacity are key parameters together with the force of infection and body ...

consider time mostly as a historical irreproducible stream of unique events which create history and as a unique development scenario. An urgent scientific problem consists in the convergence of both concepts, which is possible on the basis of modern ideas of deterministic chaos. For an adequate description of historical time, it is advisable to use the proposed concepts of "dynamic set" and "true (or temporal) number". The features of deterministic-chaotic processes with the participation of temporal numbers can be shown by the example of computer models of continual cellular automata, for which the rules of transition between their states include nonlinearity.

Recent findings on the dynamical analysis of human locomotion characteristics such as stride length signal have shown that this process is intrinsically a chaotic behavior. The passive walking has been defined as walking down a shallow slope without using any muscular contraction as an active controller. Based on this definition, some knee-less models have been proposed to present the simplest possible models of human gait. To maintain stability, these simple passive models are compelled to show a wide range of different dynamics from order to chaos. Unfortunately, based on simplifications, for many years the cyclic period-one behavior of these models has been considered as the only stable response. This assumption is not in line with the findings about the nature of walking. Thus, this paper proposes a novel model to demonstrate that the knee-less passive dynamic models also have the ability to model the chaotic behavior

The purpose of the present work is to study the chaotic behavior in a flexible assembly line of a manufacturing system. A flexible assembly line can accommodate a variety of product types. Result analysis is performed to obtain time persistent data. The behavior of the system is observed for Work-In-Process, as assembling systems are sensitive during processing. It is found that the average Lyapunov exponent is positive in the considered case, and thus chaotic behavior may be present in flexible assembly lines.

Работа посвящена изучению глобальных аттракторов абстрактных полулинейных параболических уравнений и их вложений в конечномерные многообразия. Как известно, достаточным условием существования гладких (как минимум, гладкости C 1) инерциальных многообразий конечной размерности, содержащих глобальный аттрактор, является так называемое условие щели в спектре для соответствующего линейного оператора. Также имеется ряд примеров, показывающих, что если щель в спектре отсутствует, то C 1-гладкого инерциального многообразия может и не быть. С другой стороны, так как аттрактор обычно имеет конечную фрактальную размерность, то, согласно теореме Мане, он проектируется взаимно однозначно и Гёльдер-гомеоморфно в конечномерную плоскость общего положения, если ее размерность достаточно велика. В настоящей работе показано, что при отсутствии щели в спектре существуют аттракторы, которые нельзя вложить ни в какое липшицево или даже лог-липшицево конечномерное многообразие. Таким образом, если щель в спектре отсутствует, то в общем случае нельзя ожидать липшицевости или лог-липшицевости обратной проекции Мане аттрактора. Кроме того, в классе нелинейностей конечной гладкости построены примеры аттракторов с конечной хаусдорфовой и бесконечной фрактальной размерностью. Библиография: 35 названий.

This paper describes a method for identifying a person while walking by means of a triaxial accelerometer attached to the waist. Human gait is considered as a dynamical system whose attractor is reconstructed by time delay vectors. A Spectral Analysis on the state space reconstruction is used to characterize the attractor. The method is compared to other common methods used in gait recognition tasks through a preliminary test.

В статті підкреслюється, що творчі здібності та навички креативності в сучасному світі стають одними із самих затребуваних. З огляду на це, існує практична потреба у всебічному розгляді феномена креативності, надання, обговорення його різних концепцій та методологічних підходів. Представляється філософський аналіз креативності як соціальної практики, що не наполягає на самоствердженні, а, скоріше є спонтанністю людських спілкувань і дій з метою створення вільного життєвого простору, для народження ідей. Розкривається горизонтальний смисл відповідальності, коли людина несе «відповідальність за іншого» в широкому сенсі цього слова, висуває певні вимоги до дій особистості, в тому числі і спонтанних. Вислювлюється думка про існування «відповідальної спонтанності» як певного інтерсуб'єктивного механізму регуляції людських відносин, що розміщує спонтанність в царині моральності. Розрізняються поняття креативності і творчості, акцентується, що креативність має скоріше конструктивістський, інструментальний характер, вимагає широкого спектру знань, навичок і певних доказів того, що їх можна до певної міри навчитися, тоді як творчість вбирає в себе певний піднесений сакральний смисл, такий, що не можна пояснити логічним шляхом, а прийняти як даність. Виділяються декілька основних специфічних рис креативності, такі як новизна, цілепокладання, результативність, цінність. Такі риси як новизна та цінність притаманні і творчості, що поєднує креативність і творчість як схожі типи практики, натомість цілепокладання і результативність відрізняють креативність від творчості. Креативність є соціальною практикою, яка, одночасно і народжується в інтерсуб'єктивному просторі і підживлює його, причому новизна, цілепокладання і результативність мають постійно звірятись з ціннісно-моральним інтерсуб'єктивним простором. Соціальна практика в сучасній Україні, на нашу думку, має тенденцію до змін, і креативність має посісти гідне місце в широкому спектрі галузей нашої країни. Творчість і креативність мають перейти з персонального та самодіяльного рівня свого розвитку та застосування до соціального та професійного вираження, які, на наш погляд, мають глибокі культурні коріння в нашому народі. Ключові слова: креативність, творчість, соціальна практика, креативний інтесуб'єктивний простір, відповідальна спонтанність. Вступ. Проблема креативності торкається дуже багатьох сторін соціального життявиховання, освіти, техніки, науки, економіки, моди, мистецтва й інших, в яких творчий підхід становить наріжний камінь їх становлення і розвитку. В сучасному світі творчі здібності та навички креативності стають одними із самих затребуваних на ринку праці. «Креативну компетентність необхідно віднести до ключових компетентностей, так як вона є складовою будь-якої професійної діяльності, пов'язана з успіхом особистості в надзвичайно мінливому світі» [1, c. 46]. Навіть стиль життя сучасної людини стає креативним. Дослідники зазначають, що «політика заохочення та захисту креативності буде вирішальною детермінантою успіху в XXI столітті» [2], що може привести до переосмислення навіть способів урядування, планування міст, надання освіти, взаємодії громадян тощо. З огляду на це, існує практична потреба у всебічному розгляді феномена креативності, надання, обговорення його різних концепцій та методологічних підходів. Адже будь-яка

The reflection of the economic situation in 1913 and 1917 in the official press organ of the Ministry of Finance – «Bulletin of Finance, industry and trade» may be interesting to both historians and economists. The journal is a valuable source on a wide range of issues in Russian economic history. The article provides a comparative thematic analysis of the journal materials using quantitative methods. For this purpose, the author relies, among other things, on the quarterly “Systematic lists of articles” and the bibliographic database created at NSU in 2005. The best way to present changes in the priorities of the editorial policy of the journal is to refer to the quarterly dynamics of the topics of analytical articles and reports.

adopts a complexivist perspective, conceived around the ideas of growth, mutual interactions, and non-linear connectedness to critique current methods used in teacher education and to offer some alternative approaches supported and inspired by complexity theory. In discussing complexity approaches to teacher education, Ricca also, of course, addresses the question of what complexity approaches to classroom teaching might include, as teacher education and the education of students are themselves non-linearly connected, mutually influential and grow together. The critique of teaching methods of planning, curriculum design and assessment for teachers to use in school settings (if such settings are acknowledged as complex) that Ricca offers here are also, therefore, problems for teacher educators in curriculum design, planning and assessment of teacher education courses. I read this paper immediately following attendance at a course for teacher educators focused on how to interpret the ...

The purpose of the present work is to study the chaotic behavior in a flexible assembly line of a manufacturing system. A flexible assembly line can accommodate a variety of product types. Result analysis is performed to obtain time persistent data. The behavior of the system is observed for Work-In-Process, as assembling systems are sensitive during processing. It is found that the average Lyapunov exponent is positive in the considered case, and thus chaotic behavior may be present in flexible assembly lines.

Северо-Кавказский научный центр высшей школы Южного федерального университета Регистрационый номер ПИ № ФС77-83942 от 30 сентября 2022 г. Федеральной службы по надзору в сфере связи, информационных технологий и массовых коммуникаций Издается с 1995 г. Периодичность 4 номера в год № 3 (115) 2023 г.

Желаева С.Э. 1 , Курбатова В.А. 2 © 1,2 К.э.н., доцент кафедры «Экономическая теория, национальная и мировая экономика», Восточно-Сибирский государственный университет технологий и управления ТЕОРЕТИЧЕСКИЕ ОСНОВЫ ТЕМПОРАЛЬНОГО КОНСТРУИРОВАНИЯ ЭКОНОМИЧЕСКОЙ СИСТЕМЫ Аннотация В статье рассматриваются теоретические возможности конструирования экономической действительности на основе активных свойств времени с позиции синергетической парадигмы. Экономический конструктивизм как методологический подход может быть использован для эффективной управленческой деятельности, стратегического прогнозирования и планирования будущего на долгосрочную перспективу, разработки разумной национальной и государственной экономической политики в механизме самоорганизации экономической системы.

Работа посвящена изучению глобальных аттракторов абстрактных полулинейных параболических уравнений и их вложений в конечномерные многообразия. Как известно, достаточным условием существования гладких (как минимум, гладкости C 1) инерциальных многообразий конечной размерности, содержащих глобальный аттрактор, является так называемое условие щели в спектре для соответствующего линейного оператора. Также имеется ряд примеров, показывающих, что если щель в спектре отсутствует, то C 1-гладкого инерциального многообразия может и не быть. С другой стороны, так как аттрактор обычно имеет конечную фрактальную размерность, то, согласно теореме Мане, он проектируется взаимно однозначно и Гёльдер-гомеоморфно в конечномерную плоскость общего положения, если ее размерность достаточно велика. В настоящей работе показано, что при отсутствии щели в спектре существуют аттракторы, которые нельзя вложить ни в какое липшицево или даже лог-липшицево конечномерное многообразие. Таким образом, если щель в спектре отсутствует, то в общем случае нельзя ожидать липшицевости или лог-липшицевости обратной проекции Мане аттрактора. Кроме того, в классе нелинейностей конечной гладкости построены примеры аттракторов с конечной хаусдорфовой и бесконечной фрактальной размерностью. Библиография: 35 названий.

A new four-dimensional, hyperchaotic dynamic system, based on Lorenz dynamics, is presented. Besides, the most representative dynamics which may be found in this new system are located in the phase space and are analyzed here. The new system is especially designed to improve the complexity of Lorenz dynamics, which, despite being a paradigm to understand the chaotic dissipative flows, is a very simple example and shows great vulnerability when used in secure communications. Here, we demonstrate the vulnerability of the Lorenz system in a general way. The proposed 4D system increases the complexity of the Lorenz dynamics. The trajectories of the novel system include structures going from chaos to hyperchaos and chaotic-transient solutions. The symmetry and the stability of the proposed system are also studied. First return maps, Poincaré sections, and bifurcation diagrams allow characterizing the global system behavior and locating some coexisting structures. Numerical results about ...

adopts a complexivist perspective, conceived around the ideas of growth, mutual interactions, and non-linear connectedness to critique current methods used in teacher education and to offer some alternative approaches supported and inspired by complexity theory. In discussing complexity approaches to teacher education, Ricca also, of course, addresses the question of what complexity approaches to classroom teaching might include, as teacher education and the education of students are themselves non-linearly connected, mutually influential and grow together. The critique of teaching methods of planning, curriculum design and assessment for teachers to use in school settings (if such settings are acknowledged as complex) that Ricca offers here are also, therefore, problems for teacher educators in curriculum design, planning and assessment of teacher education courses. I read this paper immediately following attendance at a course for teacher educators focused on how to interpret the ...

We consider the problem of the optimal allocation of the capacity of a single server to a bank of buffers with different arrival flows and priority. The problem is addressed in a full deterministic setting by searching for a feedback policy resulting from the minimization of a discounted cost function that measures the accumulation on the buffers. The solution is obtained by studying a simple two-buffer system, for which it is proved that the minimum of the cost function is given, as a minimizer, by the policy consisting in emptying first the high-priority buffer and then keeping this queue length to zero, while devoting the remaining capacity to the other low-priority buffers in order to completely empty them. The server capacity is allocated as a function of the inflow rates regarded as scheduling variables. If the measures of such quantities are not available, an observer-based control scheme can be applied as the combination of the aforesaid controller with an exponential observer that provides instantaneous estimates of the inflow rates by using only the measurements of the queue lengths. For this control scheme, closed-loop asymptotic stability is proved. An evaluation of the effectiveness of the proposed approach is shown via simulations.

Society pressures men and women into playing certain roles, prescribed by the community and passed down from generation to generation. Gender stereotypes are the most persistent among all social stereotypes. They are a set of conventional generally accepted rules and attitudes in respect to male and female status, codes of conduct, motives behind their actions and need patterns. They consolidate prevailing gender differences and relations. Destructive impact of gender stereotypes can be observed at the family level in various forms of violence against men or women, especially in rural regions. It is mostly women who fall victims to spousal abuse. The range of violations of women's rights is fairly broad, including female trafficking, rape, marital violence, child sexual abuse, cultural practices and traditions directed against female reproductive and sexual health. Studies of both domestic and foreign researchers give grounds for arguing that it is patriarchal attitudes and beli...

Философия Канта помогает нам постичь духовно этот быстроменяющийся мир, влиять на формирования массового сознания, человеческое Ego, отношения с другими людьми, поведение в обществе. Основной направленностью философии Канта является изучение человека и поиск его места в этом мире

Many research groups developed bifurcation diagrams, Poincare maps and computed Feigenbaum constants for passive walkers. Very few attempts have been made for performing nonlinear time-series analyses of these complex dynamical systems. Besides, Garcia’s et al.’s the simplest walking model, the compass-gait biped model is the most commonly used passive dynamic walking (PDW) biped robot by the biomechanists, robotics engineers and chaos theorists. We accomplished nonlinear analysis of a time-series generated by the compass-gait biped and aimed to examine its dynamical behavior. The walking gait time-series data presented chaotic dynamics as fractal dimensions and positive Lyapunov exponents were found.

In the article, in the context of sociocultural and socio-psychological processes and the development of the world historical science, theoretical problems that faced the domestic historical science in the second half of the 20th and beginning of the 21st centuries, and ways of their solution are traced. The positions of the major historians, connections of their theoretical positions with their world outlook are presented. Their innovations are considered within the framework of cultural, anthropological, and spatial turns in historical knowledge. The
problems of modern transformation of directions of knowledge created by them, the centers of innovative historical thought and the perspective of historical knowledge in modern Russia are analyzed.
Keywords: civilizational approach, history of mentalities, history of everyday life, new imperial history, cognitive history, intellectual history, histoire croisée.
В статье в контексте социокультурных и социально-психологических процессов, развития мировой исторической науки прослежены теоретические проблемы, вставшие перед отечественной
исторической наукой во второй половине ХХ – начале ХХI вв., и способы их решения. Представлены позиции крупнейших историков, связь их теоретических позиций с их мировоззрением. Они
рассматриваются в рамках культурного, антропологического и пространственного поворотов в историческом знании. Анализируются проблемы современной трансформации созданных ими направлений знания, центры новаторской исторической мысли и перспективы исторического знания в современной России.
Ключевые слова: цивилизационный подход, история ментальностей, история повседневности, новая имперская история, когнитивная история, интеллектуальная история, перекрестная ис-
тория.

Many research groups developed bifurcation diagrams, Poincare maps and computed Feigenbaum constants for passive walkers. Very few attempts have been made for performing nonlinear time-series analyses of these complex dynamical systems. Besides, Garcia’s et al.’s the simplest walking model, the compass-gait biped model is the most commonly used passive dynamic walking (PDW) biped robot by the biomechanists, robotics engineers and chaos theorists. We accomplished nonlinear analysis of a time-series generated by the compass-gait biped and aimed to examine its dynamical behavior. The walking gait time-series data presented chaotic dynamics as fractal dimensions and positive Lyapunov exponents were found.

This article presents a summary of applications of chaos and fractals in robotics. Firstly, basic concepts of deterministic chaos and fractals are discussed. Then, fundamental tools of chaos theory used for identifying and quantifying chaotic dynamics will be shared. Principal applications of chaos and fractal structures in robotics research, such as chaotic mobile robots, chaotic behaviour exhibited by mobile robots interacting with the environment, chaotic optimization algorithms, chaotic dynamics in bipedal locomotion and fractal mechanisms in modular robots will be presented. A brief survey is reported and an analysis of the reviewed publications is also presented.

This paper studies the dynamics of the two-dimensional biochemical Goldbeter model under the influence of random disturbances. The model describes an enzymatic reaction with nonlinear recirculation of a product into a substrate. We investigate parametric zones where the system exhibits the phenomenon of bistability: the coexistence of two stable periodic regimes or the coexistence of a stable equilibrium and a stable limit cycle. The noise-induced transitions of stochastic trajectories between deterministic attractors resulting in multimodal oscillations are demonstrated via the direct numerical simulation. It is shown how the effect of noise on the system changes the frequency and amplitude characteristics of stochastic self-oscillations.

We present a study of the stress fields in the neighborhood of a moving crack tip in the framework of linear elastic fracture mechanics. This approach is found to be physically relevant for a large range of the crack speeds. We show that the stability analyses based on conditions of attainment of a critical tensile stress on some plane are inadequate to describe the instabilities of the crack path. A study of the largest principal stress in the neighborhood of the crack surface is reported. We show that at ''low'' crack velocities the path of the crack extension is an opening mode. However, this property disappears when the crack speed exceeds a critical velocity V c and reappears again beyond a faster speed V B , but at a different orientation from that of pure opening mode. These variations have been interpreted as the onset of roughening and branching instabilities.

The paper introduces an action recognition framework that uses concepts from the theory of chaotic systems to model and analyze nonlinear dynamics of human actions. Trajectories of reference joints are used as the representation of the non-linear dynamical system that is generating the action. Each trajectory is then used to reconstruct a phase space of appropriate dimension by employing a delay-embedding scheme. The properties of the reconstructed phase space are captured in terms of dynamical and metric invariants that include Lyapunov exponent, correlation integral and correlation dimension. Finally, the action is represented by a feature vector which is a combination of these invariants over all the reference trajectories. Our contributions in this paper include :1) investigation of the appropriateness of theory of chaotic systems for human action modelling and recognition, 2) a new set of features to characterize nonlinear dynamics of human actions, 3) experimental validation of the feasibility and potential merits of carrying out action recognition using methods from theory of chaotic systems.

In this paper, we apply adaptive control method to derive new results for the global chaos synchronization of 4-D chaotic systems, viz. identical Lorenz-Stenflo(LS) systems (Stenflo, 2001), identical Qi systems (Qi, Chen and Du, 2005) and non-identical LS and Qi systems. In this paper, we shall assume that the parameters of both master and slave systems are unknown and we devise adaptive control schemes for synchronization using the estimates of parameters for both master and slave systems. Our adaptive synchronization schemes derived in this paper are established using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the adaptive control method is very effective and convenient to synchronize identical and non-identical LS and Qi systems. Numerical simulations are shown to demonstrate the effectiveness of the proposed adaptive synchronization schemes for the identical and non-identical, uncertain LS and Qi 4-D chaotic systems.

Рассматривается процесс научного творчества на примере особенностей постановки и решения научных проблем в познании. Констатируется, что научные проблемы в современной науке ставятся и решаются не только ради получения истины. Важнейшую роль сегодня в процессе постановке и решения научных проблем играет социальный заказ, в рамках которого исследователь ориентируется на получение практического и эффективного результата, что не обязательно связано с получением истины. Современным ученым приходится решать проблемы, одновременно придерживаясь задачи получения как истины, так и практического результата. Такие научные проблемы носят комплексный характер, и опыта решения подобных проблем в науке еще нет

This paper describes a method for identifying a person while walking by means of a triaxial accelerometer attached to the waist. Human gait is considered as a dynamical system whose attractor is reconstructed by time delay vectors. A Spectral Analysis on the state space reconstruction is used to characterize the attractor. The method is compared to other common methods used in gait recognition tasks through a preliminary test.

Solar Cells are destined to supply electric energy beginning from primary resources. It can charge a battery up to 12V dc. For residential use an inverter for 12V dc to 220V ac conversion is desired. For this a static DC-AC converter is necessarily inserted between the solar cells and the distribution network. This paper describes a new P.W.M. strategy for a voltage source inverter. This modulation strategy reduces the energy losses and harmonics in the P.W.M. voltage source inverter. This technique allows the P.W.M. voltage source inverter to become a new feasible solution for solar home application.

У статті висвітлюється типологія любові, представлена Ч.С.

Бартніком у контексті йогоперсоналістичного вчення. В інтерпретації філософа любов виявляється найпотужнішим чинником, якийструктуру особи робить динамічною і продуктивною, бо саме любов спонукає розум, волю і дію рухатися
в одному напрямку задля добра іншої особи чи осіб, створює умови для найповнішого самовираження
особи. Будучи ядром буття, ключовою структурою світу й універсальним його елементом, любов упитомому значенні можлива лише в особі, між особами і для особи. Бартнік виділяє також поняття«антилюбов», що заперечує всі види любові й виступає силою, спрямованою на руйнацію світу особи, їїструктури та спричиняє процеси деперсоналізації.

This study investigates bifurcations and chaos in two-cell Cellular Neural Networks (CNN) with periodic inputs. Without the inputs, the time periodic solutions are obtained for template A=[r,p,s] with p>1, r>p-1 and -s>p-1. The number of periodic solutions can be proven to be no more than two in exterior regions. The input is b sin 2πt/T with period T>0 and amplitude b>0. The typical trajectories Γ(b,T,A) and their ω-limit set ω(b,T,A) vary with b, T and A are also considered. The asymptotic limit cycles Λ∞(T,A) with period T of Γ(b,T,A) are obtained as b→∞. When [Formula: see text] (given in (67)), Λ∞ and -Λ∞ can be separated. The onset of chaos can be induced by crises of ω(b,T,A) and -ω(b,T,A) for suitable T and b. The ratio [Formula: see text], of largest amplitude a1(b) except for T-mode and amplitude of the T-mode of the Fast Fourier Transform (FFT) of Γ(b,T,A), can be used to compare the strength of sustained periodic cycle Λ0(A) and the inputs. When [Formula: ...

In this paper, the unknown parameters of the photovoltaic (PV) module are determined using Genetic Algorithm (GA) method. This algorithm based on minimizing the absolute difference between the maximum powers obtained from module datasheet and the maximum power obtained from the mathematical model of the PV module, at different operating conditions. This method does not need to initial values, so these parameters of the PV module are easily obtained with high accuracy. To validate the proposed method, the results obtained from it are compared with the experimental results obtained from the PV module datasheet for different operating conditions. The results obtained from the proposed model are found to be very close compared to the results given in the datasheet of the PV module.

Попов Виталий Владимирович доктор философских наук, профессор Таганрогского института им. А.П. Чехова (филиала) Ростовского государственного экономического университета (РИНХ) Максимова Софья Игоревна аспирант Таганрогского института им. А.П. Чехова (филиала) Ростовского государственного экономического университета (РИНХ)

Apart from that, I am working a bit on Skovoroda's language. I have this feeling, without trying to indulge in patriotic exaggerations, that he might have been the most interesting figure in all Slavonic literatures of the 18 th century" (G.Y. Shevelov) "Xenophobia 1 became the word of 2016" (Dictionary.com's 2016 Word of the Year: Xenophobia) One would think that the figure of Hryhoriy Skovoroda implies ubiquitous honor and recognition in Ukraine. Being a renowned philosopher of the 18 th century, enlightener, musician and singer, he was known not only within the academic circles, but also to the general public. Regular scientific and practical conferences, seminars and readings take place, for instance, in Kharkiv and Pereyaslav-Khmelnytskyi. Since its creation in 2012, the international Skovoroda colloquium has been taking regularly place at the Institute of Philosophy of the Ukrainian National Academy of Sciences. The scientific and research program "Scovorodianum" is still in place. It's not for no reason that the Institute of Philosophy, pedagogical universities in Kharkiv and Pereyaslav-Khmelnytskyi, charitable foundations, international literary prize, parks and streets bear his name. Moreover, Skovoroda's portrait graces the 500-Hryvnia note. However, at times Skovoroda's fame obscures the luster of his works, in particular, through a wide range of hackneyed clichés and stereotypes of its assessment, among which the juxtaposition of mind and heart as its key 1 Dictionary.com annually announces the word that defines the main trend in culture. As it turned out, in 2016 a significant portion of attention in the news stories was paid to the "other". A distinctive attitude towards the "other" was fear. Xenophobia is a relatively new word that comes from the Ancient Greek xénos meaning "a foreigner" and phóbos meaning "fear, panic". It means fear or hatred of people belonging to other cultures and customs, being of other origin, i.e. of those who are different, "other".

Рассматривается феномен многомодового диффузионного хаоса, одним из признаков которого является увеличение ляпуновской размерности аттрактора распределенных эволюционных динамических систем при уменьшении коэффициента диффузии. Для ряда примеров выполнен обширный численный эксперимент, в котором проиллюстрирован этот эффект.