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...

The aim of this Letter is to show that the injection of small damping signals can suffice to regulate the motion of a chaotic system around less complex attractors, such as equilibrium points and periodic orbits. The proposed feedback controller is composed by a high-pass filter and a saturator, so its implementation is quite simple and can be made on the basis of measured signals. The Duffing ...

A convective loop is a system in which a fluid circulates freely inside a closed circular pipe. The circulating fluid works as a transport media of heat from a source to a sink. First order lumped parameter modelling of this system leads to a set of nonlinear ordinary differential equations. Depending on heating rate this system can show chaotic behavior. In this paper, the performance of nonli...

We report the experimental verification of thresholding as a versatile tool for efficient and flexible chaos control. The strategy here simply involves monitoring a single state variable and resetting it when it exceeds a threshold. We demonstrate the success of the technique in rapidly controlling different chaotic electrical circuits, including a hyperchaotic circuit, onto stable fixed points...

In this paper, the problems on chaos control and synchronization of Li chaotic systems with unknown parameters are considered. Firstly, the Li chaotic systems are introduced. Secondly, the adaptive control system with only two state feedbacks for synchronization of the Li chaotic systems is presented and the parameter identification method is also given. Sufficient conditions for the stability ...

This paper investigates the problem of chaos control and synchronization for new chaotic dynamical system and proposes a simple adaptive feedback control method for chaos control and synchronization under a reasonable assumption. In comparison with previous methods, the present control technique is simple both in the form of the controller and its application. Based on Lyapunov’s stability theo...

We present a method of control which is able to create barriers to magnetic field line diffusion by a small modification of the magnetic perturbation. This method of control is based on a localized control of chaos in Hamiltonian systems. The aim is to modify the perturbation (of order ε) locally by a small control term (of order ε 2) which creates invariant tori acting as barriers to diffusion...