A simple time-delay feedback anticontrol method made rigorous

Tianshou Zhou; Guanrong Chen; Qigui Yang

doi:10.1063/1.1763014

A simple time-delay feedback anticontrol method made rigorous

Chaos. 2004 Sep;14(3):662-8. doi: 10.1063/1.1763014.

Authors

Tianshou Zhou¹, Guanrong Chen, Qigui Yang

Affiliation

¹ Department of Mathematical Sciences, Tsinghua University, Beijing 100084, People's Republic of China. zhou@polaris.s.kanazawa-u.ac.jp

PMID: 15446976
DOI: 10.1063/1.1763014

Abstract

An effective method of chaotification via time-delay feedback for a simple finite-dimensional continuous-time autonomous system is made rigorous in this paper. Some mathematical conditions are derived under which a nonchaotic system can be controlled to become chaotic, where the chaos so generated is in a rigorous mathematical sense of Li-Yorke in terms of the Marotto theorem. Numerical simulations are given to verify the theoretical analysis.

Publication types

Research Support, Non-U.S. Gov't

MeSH terms

Algorithms
Feedback*
Models, Theoretical
Nonlinear Dynamics*
Time Factors