Many physical, chemical, and biological systems of interest evolve in a nonequilibrium environment. As these systems are driven further out of equilibrium, they tend to display progressively more complicated dynamics, with steady spatially uniform states replaced first by non-chaotic patterned states and eventually by spatiotemporal chaos. This complexity is often undesirable and considerable b...

Since chaos control has found its way into many applications, the development of fast, easy-to-implement and universally applicable chaos control methods is of crucial importance. Predictive feedback control has been widely applied but suffers from a speed limit imposed by highly unstable periodic orbits. We show that this limit can be overcome by stalling the control, thereby taking advantage ...

Abstract—Chaos is a very interesting nonlinear phenomenon, and often encountered in many dynamics. Hence, Chaos control problem has been one of the main concerns of researchers wishing to inspect the properties of such systems. This paper focuses on the adaptive control problem and tracking control problem for a new chaotic dynamical system with unknown parameter. Based on a modified backsteppi...

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xiv CHAPTER I — INTRODUCTION . . . . . . . . . . . . . . . . . . . . 1 1.1 Motivation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 Outline . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.3 Systems under study . . . . . . . . . . . . . . . . . . . . . . . ....

This research deals with optimization of the control of chaos by means of evolutionary algorithms. The main aim of this work is to show that evolutionary algorithms are capable of the optimization of chaos control and to show a new approach of solving this problem and constructing new cost functions operating in “blackbox mode” without previous exact mathematical analysis of the system, thus wi...

As the sports training predicting model based on chaos local predicting method still has the low predicting accuracy and the slow function speed problems, this paper proposes a sports training chaos predicting model based on weight control ant colony algorithm. It firstly uses the comprehensive weight factor to perform the weight control to the initial information of the new join node in the an...

This paper is concerned with finite-time chaos control of unified hyperchaotic systems with multiple parameters. Based on the finite-time stability theory in the cascade-connected systems, a nonlinear control law is presented to achieve finite-time chaos control. The controller is simple and easy to be constructed. Simulation results for Lorenz hyperchaotic system, L ü hyperchaotic system, Chen...

Finding sufficient criteria for synchronization of master-slave chaotic systems by replacing variables control has been an open problem in the field of chaos control. This paper presents some recent works on the subject, with emphasis on chaos synchronization of both identical and parametrically mismatched Lur’e systems by replacing variables control. The synchronization schemes are formally co...

In this paper, a sliding mode controller is applied to control the cubic Chua’s circuit system. The sliding surface of this paper used is one dimension higher than the traditional surface and guarantees its passage through the initial states of the controlled system. Therefore, using the characteristic of this sliding mode we aim to design a controller that can meet the desired specification an...

We analyze the behavior of a relativistic particle moving under the influence of a uniform magnetic field and a stationary electrostatic wave. We work with a set of pulsed waves that allows us to obtain an exact map for the system. We also use a method of control for near-integrable Hamiltonians that consists of the addition of a small and simple control term to the system. This control term cr...