This paper presents anti-synchronization of chaos between two different chaotic systems using active control method. The proposed technique is applied to achieve chaos antisynchronization for the Lü and Rössler dynamical systems. Numerical simulations are implemented to verify the results. Keywords—Active control, Anti-Synchronization, Chaos, Lü system, Rössler system.

In this paper, a coupling scheme based on Nonlinear Open Loop Controllers, between two identical coupled Hindmarsh–Rose neuron models is investigated analytically and numerically. In more details the cases of bidirectional and unidirectional coupling are chosen, which are designed for achieving two of the more interesting types of synchronization the complete synchronization and anti-synchroniz...

Abstract In this article we examine the dynamical properties of fractional version snap system by means chaotic attractor, existence, and uniqueness solution, symmetry, dissipativity, stagnation point analysis, Lyapunov dynamics, K.Y. dimension, bifurcation diagram, etc. Also, parallel systems to are synchronized in presence uncertainties external disturbances using triple compound combination ...

First, this paper proposes a general procedure for the anti-synchronization of identical chaotic systems using novel sliding mode control method. The general result derived using novel sliding mode control method is established via Lyapunov stability theory. As an application of the general result, the problem of anti-synchronization of identical Vaidyanathan-Madhavan chaotic systems (2013) is ...

We study synchronization transitions and pattern formation on small-world networks consisting of Morris–Lecar excitable neurons in dependence on the information transmission delay and the rewiring probability. In addition, networks formed via gap junctional connections and coupling via chemical synapses are considered separately. For gap-junctionally coupled networks we show that short delays c...

In this paper, an adaptive H∞ control scheme is developed to study the antisynchronization behavior of time-delayed chaotic neural networks with unknown parameters. This adaptive H∞ anti-synchronization controller is designed based on LyapunovKrasovskii theory and an analytic expression of the controller with its adaptive laws of parameters is shown. The proposed synchronization method guarante...

In this paper, the authors investigate the anti-synchronization of chaotic Pan, Lorenz, and Lu systems and anti-synchronization of Liu and Cai systems. Global exponential synchronization of Pan, Lorenz, Lu, Liu, and Cai chaotic systems are established by using Lyapunov stability theory. Numerical simulations are performed to illustrate the effectiveness of the proposed synchronization schemes f...

This paper addresses the problem of coexistence synchronization and anti-synchronization (CSAS) for a class switched chaotic systems by adaptive control method, where system is realized unified under arbitrary switching signal. Firstly, necessary sufficient conditions CSAS are proposed from two perspectives, one analyzing parity expression, other decomposing system. Secondly, according to obtai...