Effective synchronization of a class of Chua's chaotic systems using an exponential feedback coupling

In this work a robust exponential function based controller is designed to synchronize effectively a given class of Chua's chaotic systems. The stability of the drive-response systems framework is proved through the Lyapunov stability theory. Computer simulations are given to illustrate and verify the method.Comment: 12 pages, 18 figure

Finite-time synchronization of tunnel diode based chaotic oscillators

This paper addresses the problem of finite-time synchronization of tunnel diode based chaotic oscillators. After a brief investigation of its chaotic dynamics, we propose an active adaptive feedback coupling which accomplishes the synchronization of tunnel diode based chaotic systems with and without the presence of delay(s), basing ourselves on Lyapunov and on Krasovskii-Lyapunov stability theories. This feedback coupling could be applied to many other chaotic systems. A finite horizon can be arbitrarily established by ensuring that chaos synchronization is achieved at a pre-established time. An advantage of the proposed feedback coupling is that it is simple and easy to implement. Both mathematical investigations and numerical simulatioComment: 11 pages, 43 figure

Network of mobile systems: mutual influence of oscillators and agents

This work presents a network of mobile systems whose nodes are constituted by a moving agent with an internal state (an oscillator), which influences each other. The coupling topology of the agents and internal oscillators changes over time according to the interaction range (also called vision range or vision sizes (Majhi et al. Phys Rev E 99: 012308, 2019)) of their corresponding counterparts. The goal is to investigate the dynamics of the oscillators and the agents in the considered systems. Our results show that the synchronization between agents and that between oscillators depends on the coupling parameter of the oscillators, the velocity of the agents and the interaction range of both agents and oscillators. We have found that the vision range of the oscillators has a great influence on the dynamics of the agents. Among this dynamics, we can mention phase synchronization and clusters formation in the mobile system and complete synchronization as well as clusters formation on the oscillators. The stability of the synchronization in the oscillators is investigated using the Master Stability Function (MSF) developed by Pecora and Carroll (Phys Rev Lett 80: 2109, 1998)

Mobile oscillators network with amplification

In this work, we investigate the dynamics of a multilayer network of mobile agents with amplification where each agent is composed of two parts: internal dynamics defined by a Rössler chaotic oscillator and external dynamics defined by the random motion of this agent in 2D space. Each agent characterized by a communication range named ‘vision range’ which is the greatest distance within which two agents can exchange information and therefore establish a coupling. Thus, two cases were studied: the case where only the external dynamic influences the internal dynamic and the case where there is a mutual influence of the internal dynamic on the external dynamic and vice versa. The study of the effects of these parameters leads the internal dynamics of the network to the synchronization (resp. attenuation) and the spatial motion of the agent to the phase synchronization