As an important application of chaotic dynamical systems, chaos-based secure communication and cryptography attracted continuous interest over the last decade. It studies methods of controlling deterministic systems with chaotic behavior. Moreover, it is easy to notice the possibility of substantial variation of the characteristics of chaotic systems by relatively small variations of their para...

The problem of controlling chaotic system is studied by using back stepping design method. This technique is applied to achieve chaos control for each state of the nonlinear dynamical system. Based on Lyapunov stability theory, control laws are derived. The same technique is used to enable the stabilization of the chaotic motion to a steady state as well as tracking of any desired trajectory to...

The interaction of capacitive and resistive nonlinearities in the Chua’s circuit is studied. The original Chua’s circuit is modified by replacing one of the linear capacitors with a nonlinear one to investigate the effects of such an interaction on the chaotic behavior of the circuit. It is found that such an interaction can be effective in limiting and controlling chaos. The Pspice simulation ...

This paper deals with the celebrated chaotic DuÆng equation with external control force. It is shown that Lyapunov's Direct Method in conjunction with recent developments in nonlinear control yields a promising way of engineering chaotic dynamics. Among the three types of feedback controllers introduced in the paper, we particularly emphasize the value of linear feedback strategy in controlling...

This paper studies the rotation map with a controlling segment. As a parameter varies, the map exhibits superstable periodic orbits, chaos and rich bifurcation phenomena. The map is applicable to an A/D converter having efficient resolution characteristics. The converter can be realized as a circuit model based on a spiking neuron and the rate-coding. Presenting a test circuit, basic operation ...

Phase-control techniques of chaos aim to extract periodic behaviors from chaotic systems by applying weak harmonic perturbations with a suitably chosen phase. However, little is known about the best strategy for selecting adequate perturbations to reach desired states. Here we use experimental measures and numerical simulations to assess the benefits of controlling individually the three terms ...

Cardiac arrhythmias have been closely linked to a variety of bifurcations and chaos. In this paper control of bifurcations and chaos for nonlinear models of cardiac electro-physiologic activity is investigated. Both the Andronov-Hopf bifurcation and period doubling bifur-cation are treated. Washout lter aided feedback controllers are employed to control the location and stability of the bifurca...