Controlling chaos

Controlling chaos faster.

Predictive feedback control is an easy-to-implement method to stabilize unknown unstable periodic orbits in chaotic dynamical systems. Predictive feedback control is severely limited because asymptotic convergence speed decreases with stronger instabilities which in turn are typical for larger target periods, rendering it harder to effectively stabilize periodic orbits of large period. Here, we...

Controlling Chemlcal Chaos 4957

The long-term unprcdictability associated with chaos may be undesirable in certain settings. Ott, Grebogi, and Yorke (Phys. Rev. Lett. 1990.64, 1196) have recently proposed a method by which any of the infinite number of unstable periodic orbits embedded within a strange attractor can be, in principle, stabilized through small, controlled perturbations of a system constraint. This method is app...

Controlling Cardiac Chaos

Controlling of Chaos Synchronization

In the present paper, Linear Quadratic Regulator (LQR) and dual properties are employed to solve the observer-based synchronization problem. The synchronization is designed for nominal chaotic system, then it is applied to systems with uncertain parameters and systems with time-delays to investigate its tolerance to such systems. Moreover, to solve the nonlinear problem, which exist in chaotic ...

Controlling Chaos 12 MARCH 1990

It is shown that one can convert a chaotic attractor to any one of a large number of possible attracting time-periodic motions by making only small time-dependent perturbations of an available system parameter. The method utilizes delay coordinate embedding, and so is applicable to experimental situations in which a priori analytical knowledge of the system dynamics is not available. Important ...