A New Chaotic System Based on Delayed Feedback Control Method

Abstract

With the further research of nonlinear systems, we have discovered that many practical physical circuits contain chaotic phenomenon. At the same time, a number of control schemes can be used to controlled chaotic system, such as control by Ott-Grebogi-Yorke (OGY) method, control by delayed feedback control (DFC) method, control by synchronization and so on. Delayed feedback control was proposed by Pyragas to stabilize unstable period orbits embedded in a chaotic attractor. In contrast to the other method, it has the advantage of not requiring prior knowledge of anything except the period of the desired orbit. In this paper, we took a new three dimensional autonomous continuous system in [6] as an example and analyzed chaotic characters of this chaotic system and studied the stability of DFC system by using theoretical explanation and experimental results.