This paper surveys some recent results about chaos induced by snap-back repellers and its applications to anti-control of chaos (or, chaotification). Several criteria of chaos induced by snap-back repellers in finite and infinite dimensional dynamical systems are introduced. Some successful applications are given to chaotification problems for finite and infinitedimensional discrete dynamical s...

This paper illustrates the presence of chaos in rank-one chaotic systems with delay via a binary test called 0-1 test for chaos. Chaotic synchronization between two rank-one chaotic systems without and with delay is achieved by means of Lyapunov functional and linear delayed feedback control method. Numerical simulations are implemented to verify the effectiveness of the proposed chaos synchron...

This paper introduces Chaos Theory as a means of studying information systems. It argues that Chaos Theory, combined with new techniques for discovering patterns in complex quantitative and qualitative evidence offers a potentially more substantive approach to understand the nature of information systems in a variety of contexts. The paper introduces Chaos Theory concepts by way of an illustrat...

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.

Chaos synchronization in some dynamical systems is studied in a general case. We use the boundedness of some dynamical systems, nonreplica approach to chaos synchronization and Routh-Hurwitz criteria to propose a simple method to make negative all the conditional Lyapunov exponents. The method is tested on the classical Lorenz model and one of Rossler models. Generalization of some features of ...

This research work investigates the global chaos synchronization of identical chaotic systems based on sliding mode control theory and Lyapunov stability theory. The paper begins with a problem statement on global chaos synchronization of chaotic systems. A general result is derived for the global chaos synchronization of chaotic systems using slide mode control and this result is established u...

This paper establishes new results for the sliding controller design for the global chaos synchronization of identical hyperchaotic Yujun systems (2010). Hyperchaotic systems are chaotic nonlinear systems having more than one positive Lyapunov exponent. Because of the complex dynamics properties of hyperchaotic system such as high capacity, high security and high efficiency, they are very usefu...