Chaos control may be understood as the use of tiny perturbations for the stabilization of unstable periodic orbits embedded in a chaotic attractor. Since chaos may occur in many natural processes, the idea that chaotic behavior may be controlled by small perturbations of some physical parameter allows this kind of behavior to be desirable in different applications. In general, it is not necessa...

Using techniques from active control theory, we demonstrate that two coupled chaotic systems can be phase and anti-phase synchronized. The techniques are applied to Lorenz, Rossler, and Chen systems.  2002 Elsevier Science B.V. All rights reserved.

In this paper, an adaptive integral sliding mode control scheme is proposed for synchronization of hyperchaotic Zhou systems. In the proposed scheme, an integral sliding mode control is designed to stabilize a hyperchaotic Zhou system with known parameters to its unstable equilibrium at the origin. The control is then applied to the synchronization of two identical systems, i.e., a slave and a ...

In this research, a model is established to represent a supply chain, which consists of one manufacturer and two retailers. The price-sensitive demand model is considered and the price game system is built according to the rule of bounded rationality as well as the entropy theory. With the increase of the price adjustment speed, the game system may go into chaos from the stable and periodic sta...

The 'complexity of the brain' is reviewed in terms of structural, functional and dynamic complexity. Dendritic patterns, networks and modules are mentioned as complex structures at different levels of neural organization. The functioning of single cells, small networks serving as central pattern generators, and learning systmes are examples of functional complexity. Synchronous oscillation, cha...

This paper deals with the finite-time chaos synchronization between two different chaotic systems with uncertain parameters by using active control. Based on the finite-time stability theory, a control law is proposed to realize finite-time chaos synchronization for the uncertain systems Lorenz and Lü. The controller is simple and robust against the uncertainty in system parameters. Numerical r...

The complicated behaviours seen in chaotic dynamical systems can be tamed in extremely subtle ways. The application of miniscule bounded parameter perturbations can transform chaos into order, provided those perturbations are appropriately chosen. Many methods have been derived to control chaotic behaviour in a wide range of systems. Moreover, they often require no knowledge of the underlying d...