Synchronization of Chaotic Circuits with Transmission Line

IEICE Proceeding Series

In this study, synchronization patterns generated in globally cross-coupled chaotic circuits are investigated. Computer simulations and circuit experiments show that this coupled system produces several phase patterns.

International Journal of Bifurcation and Chaos, 2006

In this paper, we have studied the dynamics of two identical resistively coupled Chua's canonical circuits and have found that it is strongly affected by initial conditions, coupling strength and the presence of coexisting attractors. Depending on the coupling variable, chaotic synchronization has been observed both numerically and experimentally. Anti-phase synchronization has also been studied numerically clarifying some aspects of uncertainty in chaos synchronization.

Applied Mathematical Sciences, 2013

The Chua circuit is among the simplest non-linear circuits that show most complex dynamical behavior, including chaos which exhibits a variety of bifurcation phenomena and attractors. In this paper, Chua attractor's chaotic oscillator, synchronization and masking communication circuits were designed and simulated. The Chua system is addressed suitable for chaotic synchronization circuits and chaotic masking communication circuits using Matlab ® and MultiSIM ® software. Simulation results are used to visualize and illustrate the effectiveness of Chua chaotic system in synchronization and application of secure communication.

2008

We propose a rationale for experimentally studying the intricate relationship between the rate of information transmission and synchronization level in active networks, applying theoretical results recently proposed. We consider two non-identical coupled Chua's circuit with non-identical coupling strengths in order to illustrate the proceeding for experimental scenarios of very few data points coming from highly non-coherent coupled systems, such that phase synchronization can only be detected by methods that do not rely explicitely on the calculation of the phase. A relevant finding is to show that for the coupled Chua's circuit, the larger the level of synchronization the larger the rate of information exchanged between both circuits. We further validate our findings with data from numerical simulations, and discuss an extension to arbitrarily large active networks.

2019 IEEE International Symposium on Circuits and Systems (ISCAS)

In this study, we investigate synchronization phenomena in ladder-coupled chaotic circuits including ring structures. We focus on the effect of the position of the ring structures in the network to the synchronization of the whole network. In our proposed network model, chaotic circuits are coupled by resistors. We set the parameters of the circuits to generate periodic solutions or chaotic solutions. Computer simulations confirm that the various synchronization phenomena occur in different situations. Coupl ed Circ u it Positio n t o rin g s t rct urc ---- Perf e ct s ync . Perfect s ync . Per fec t sy nc . Chaotic sy nc. Per fect s ync. ' " CC3-CC4 Perf e ct sy nc . C hao t ic s yn c . Pe rfect s yn c. . Perf e ct sy nc .

Two identical, double-scroll circuits, in their chaotic mode of operation, are unidirectionally connected via an externally triggered electronic switch. Thus, the case of impulsive synchronization is established. Their synchronization and its dependence on the switch on-off frequency and duty cycle is demonstrated.

An explicit analytical solution is presented for unidirectionally coupled two Murali-Lakshmanan-Chua circuits exhibiting chaos synchronization in their dynamics. The transition of the system from an unsynchronized state to a state of complete synchronization under the influence of the coupling parameter is observed through phase portraits obtained from the analytical solutions of the circuit equations characterizing the system.

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 2000

Chaotic synchronization is studied in experiments performed on dynamic arrays of Chua's circuits that are connected by using a recently introduced driving method especially suited for the design of such arrays. Namely, the driven circuit has the same number of energy storage elements as the driving circuit. The experimental results, which are supported by theoretical analysis, are different depending on the geometric arrangement of the array. In the case of linear arrays, the first circuit always imposes its behavior to the rest of the chain at a finite velocity. Instead, in the case of ring geometries, the chaotic synchronized state is only stable up to a certain size of the ring. Beyond this critical size a desynchronizing bifurcation occurs, leading to a chaotic rotating wave that travels through the array. This instability is explained by performing an analysis in terms of modes.

SN Applied Sciences

A model for synchronization of coupled Nakano's chaotic circuits is studied. The Nakano circuit consists of a simple RLC circuit with a switch voltage-depending reset rule which generates a discontinuous dynamics. Thus, the model that we study is a network of identical spiking oscillators with integrate-and-fire dynamics. The coupling between oscillators is linear, but the network is subject to a common regime of reset depending on the global state of the oscillator population. This constitutes the simplest way of build pulse-coupled networks with arbitrary topology for this type of oscillators, and it allows the emergence of synchronous states and different reset regimes. The main result is that under certain hypothesis over the weight matrix (that represents the network topology) the different reset regimes match and the formalism of the master stability function can be generalized in order to study the stability of the synchronous state and the discontinuous dynamic of the network. Also, the low dimensionality of the Nakano's circuit allows to implement the saltation-matrix method and numerical simulations can be performed in order to analyze the role of the coupling mode in the synchronization regime of the network and the influence of the voltage-type variables.

Journal of Signal Processing, 2013

In this study, two coupled chaotic oscillators composed of RC circuits are investigated. We carry out computer simulations and circuit experiments and observe both in-phase synchronization and anti-phase synchronization. Moreover, when we change the coupling strength between oscillators, we observe a change in synchronization state.