S. Behnia

Urmia University Of Technology, Physics, Faculty Member

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Papers by S. Behnia

Modeling the electrical conduction in DNA nanowires: Charge transfer and lattice fluctuation theories

Physical review. E, Statistical, nonlinear, and soft matter physics, 2015

An analytical approach is proposed for the investigation of the conductivity properties of DNA. T... more An analytical approach is proposed for the investigation of the conductivity properties of DNA. The charge mobility of DNA is studied based on an extended Peyrard-Bishop-Holstein model when the charge carrier is also subjected to an external electrical field. We have obtained the values of some of the system parameters, such as the electron-lattice coupling constant, by using the mean Lyapunov exponent method. On the other hand, the electrical current operator is calculated directly from the lattice operators. Also, we have studied Landauer resistance behavior with respect to the external field, which could serve as the interface between chaos theory tools and electronic concepts. We have examined the effect of two types of electrical fields (dc and ac) and variation of the field frequency on the current flowing through DNA. A study of the current-voltage (I-V) characteristic diagram reveals regions with a (quasi-)Ohmic property and other regions with negative differential resistanc...

Criticality calculations in a nuclear reactor by using the Lyapunov exponent method

Annals of Nuclear Energy, 2012

This paper studies the stability of the slab reactor with respect to the enrichment. For this pur... more This paper studies the stability of the slab reactor with respect to the enrichment. For this purpose, the coupled map lattice theory is applied to the multi-group diffusion equations. Applying mean Lyapunov exponent theory introduced by Shibata [H. Shibata, Physica A 264 (1999) 226] on the model shows that, two successive phases: subcritical and supercritical. In order to compare the performance of the selected method by using the MCNP and ANISN codes the obtained results controlled. The model, in spite of its simplicity in form, shows a greater efficiency in prediction of critical enrichment.

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Metal-insulator transition in a disordered nanotube

Chaos, Solitons & Fractals, 2017

Controlling charge current through a DNA based molecular transistor

Physics Letters A, 2017

Effect of magnetic field on the radial pulsations of a gas bubble in a non-Newtonian fluid

Chaos, Solitons & Fractals, 2015

Generalization of the analytical solution of neutron point kinetics equations with time-dependent external source

Journal of Theoretical and Applied Physics, 2014

The role of transducer geometry in reducing the post target bone heating during ultrasound surgery

Ultraschall in der Medizin - European Journal of Ultrasound, 2008

An Image Encryption Approach Using Quantum Chaotic Map

Paper: HIERARCHY OF ONE-AND MANY-PARAMETER FAMILIES OF ELLIPTIC CHAOTIC MAPS OF CN AND SN TYPES

Paper: HIERARCHY OF PIECEWISE NON-LINEAR MAPS WITH NON-ERGODIC BEHAVIOUR

Pseudo random number generator based on synchronized chaotic maps

International Journal of Modern Physics C, 2010

In this paper, a hierarchy of coupled maps in synchronized state is introduced. Then some discuss... more

Observations on the dynamics of external cavity semiconductor lasers

Optik, 2012

Dynamics of external cavity semiconductor lasers is known to be a complex and uncontrollable phen... more Dynamics of external cavity semiconductor lasers is known to be a complex and uncontrollable phenomenon. Due to the lack of experimental studies on the nature of the external cavity semiconductor lasers, there is a need to theoretically clarify laser dynamics. The stability of laser dynamics in the present paper, is analyzed through plotting the Lyapunov exponent spectra, bifurcation diagrams, phase portrait and electric field intensity time series. The analysis is preformed with respect to applied feedback phase C p , feedback strength Á and the pump current of the laser. The main argument of the paper is to show that the laser dynamics can not be accounted for through simply a bifurcation diagram and single-control parameter. The comparison of the obtained results provides a very detailed picture of the qualitative changes in laser dynamics.

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Intelligent controlling microbubble radial oscillations by using Slave–Master Feedback control

Applied Mathematics and Computation, 2014

ABSTRACT Dynamics of acoustically driven microbubbles in ultrasonic fields are known to be comple... more ABSTRACT Dynamics of acoustically driven microbubbles in ultrasonic fields are known to be complex and uncontrollable phenomena indicative of a highly active nonlinear as well as chaotic behavior. In this paper, a method based on Slave–Master Feedback (SMF) to suppress unstable radial oscillations of contrast agents is presented. In the proposed control process, the encapsulated microbubbles as the slave system is coupled with a dynamical system as the master, so that the output of the coupled system is able to produce a stable oscillation. A great virtue of this control technique is its flexibility. In comparison with existing techniques, the present dynamical chaos control method does not need to know more than one variable. The numerical results show its strong impact on reducing the chaotic oscillations to regular ones.

Image encryption based on quantum chaotic map and FSM transforms

2012 15th International Telecommunications Network Strategy and Planning Symposium (NETWORKS), 2012

ABSTRACT We introduce the concept of quantum chaos encryption and submit a new method of chaos en... more ABSTRACT We introduce the concept of quantum chaos encryption and submit a new method of chaos encryption. The new encryption scheme has a simple form and strong security and its performance characteristics remain very good. The experimental results demonstrated that the key space is large enough to resist the attacks and the distribution of grey values of the encrypted image has a random-like behavior, which makes it a potential candidate for encrypting multimedia data such as images, audio and even videos.

Reconfigurable chaotic logic gates based on novel chaotic circuit

Chaos, Solitons & Fractals, 2014

ABSTRACT The logical operations are one of the key issues in today’s computer architecture. Nowad... more ABSTRACT The logical operations are one of the key issues in today’s computer architecture. Nowadays, there is a great interest in developing alternative ways to get the logic operations by chaos computing. In this paper, a novel implementation method of reconfigurable logic gates based on one-parameter families of chaotic maps is introduced. The special behavior of these chaotic maps can be utilized to provide same threshold voltage for all logic gates. However, there is a wide interval for choosing a control parameter for all reconfigurable logic gates. Furthermore, an experimental implementation of this nonlinear system is presented to demonstrate the robustness of computing capability of chaotic circuits.

A new colour image watermarking scheme using Cellular Automata Transform and Schur decomposition

2013 21st Iranian Conference on Electrical Engineering (ICEE), 2013

ABSTRACT In this work a novel robust colour image watermarking scheme in Cellular Automata Transf... more ABSTRACT In this work a novel robust colour image watermarking scheme in Cellular Automata Transform (CAT) domain in combination with Schur decomposition is presented. Via different CA bases functions, the CAT domain provides numerous transform patterns, hence it improves the flexibility and security in data hiding. Furthermore, through Schur decomposition, highly transparency and robustness and also faster procedure in comparison with SVD-based methods is obtained. Moreover to enhance transparency and robustness, the watermark encoded by Error Correcting Code is embedded in some blocks of host image, selected by Logistic map. The experimental results confirm the efficiency of the proposed scheme.

A new approach to the study of heartbeat dynamics based on mathematical model

2013 21st Iranian Conference on Electrical Engineering (ICEE), 2013

ABSTRACT The study of cardiac dynamics by mathematical models has a long history that has been st... more ABSTRACT The study of cardiac dynamics by mathematical models has a long history that has been started by using nonlinear oscillators to generate such rhythms. Since cardiac rhythms may exhibit chaotic behaviors, the chaos theory as a powerful tool in studying nonlinear dynamical systems, can be used for analyzing cardiac system. In this paper, based on Grudziński and Żebrowski&#39;s model, the effects of external factors on pacemaker rhythms were studied using a new measure, called the scale index. Obtained results showed that the scale index can detect special behaviors in the action potential whereas the Lyapunov exponent is not capable of uncovering them. Moreover, it was found that the non-periodicity of pacemaker rhythms in the presence of external periodic force is not high. Finally, it was discovered that the scale index can provide a non-invasive assessment of the heart in real-life conditions.

Towards classification of the bifurcation structure of a spherical cavitation bubble

by W. Soltanpoor and S. Behnia

Ultrasonics, 2009

We focus on a single cavitation bubble driven by ultrasound, a system which is a specimen of forc... more We focus on a single cavitation bubble driven by ultrasound, a system which is a specimen of forced nonlinear oscillators and is characterized by its extreme sensitivity to the initial conditions. The driven radial oscillations of the bubble are considered to be implicated by the principles of chaos physics and owing to specific ranges of control parameters, can be periodic or chaotic. Despite the growing number of investigations on its dynamics, there is not yet an inclusive yardstick to sort the dynamical behavior of the bubble into classes; also, the response oscillations are so complex that long term prediction on the behavior becomes difficult to accomplish. In this study, the nonlinear dynamics of a bubble oscillator was treated numerically and the simulations were proceeded with bifurcation diagrams. The calculated bifurcation diagrams were compared in an attempt to classify the bubble dynamic characteristics when varying the control parameters. The comparison reveals distinctive bifurcation patterns as a consequence of driving the systems with unequal ratios of R 0 k (where R 0 is the bubble initial radius and k is the wavelength of the driving ultrasonic wave). Results indicated that systems having the equal ratio of R 0 k , share remarkable similarities in their bifurcating behavior and can be classified under a unit category.

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Generalized N-coupled maps with invariant measure in Bose-Mesner algebra perspective

Pramana, 2008

By choosing a dynamical system with d different couplings, one can rearrange a system based on th... more By choosing a dynamical system with d different couplings, one can rearrange a system based on the graph with a given vertex dependent on the dynamical system elements. The relation between the dynamical elements (coupling) is replaced by a relation between the vertexes. Based on the E0 transverse projection operator, we addressed synchronization problem of an array of the linearly coupled map lattices of identical discrete time systems. The synchronization rate is determined by the second largest eigenvalue of the transition probability matrix. Algebraic properties of the Bose-Mesner algebra with an associated scheme with definite spectrum has been used in order to study the stability of the coupled map lattice. Associated schemes play a key role and may lead to analytical methods in studying the stability of the dynamical systems. The relation between the coupling parameters and the chaotic region is presented. It is shown that the feasible region is analytically determined by the number of couplings (i.e. by increasing the number of coupled maps, the feasible region is restricted). It is very easy to apply our criteria to the system being studied and they encompass a wide range of coupling schemes including most of the popularly used ones in the literature.

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Mean Lyapunov exponent approach for the helicoidal Peyrard–Bishop model

Physics Letters A, 2011

... Mean Lyapunov exponent approach for the helicoidal PeyrardBishop model. S. Behnia a , low as... more

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