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

Tianshou Zhou
, Guanrong Chen
, Qigui Yang

Department of Electrical Engineering

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

15 Citations (Scopus)

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 Marotte theorem. Numerical simulations are given to verify the theoretical analysis. © 2004 American Institute of Physics.

Original language	English
Pages (from-to)	662-668
Journal	Chaos
Volume	14
Issue number	3
DOIs	https://doi.org/10.1063/1.1763014
Publication status	Published - Sept 2004

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title = "A simple time-delay feedback anticontrol method made rigorous",

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 Marotte theorem. Numerical simulations are given to verify the theoretical analysis. {\textcopyright} 2004 American Institute of Physics.",

author = "Tianshou Zhou and Guanrong Chen and Qigui Yang",

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AU - Chen, Guanrong

AU - Yang, Qigui

PY - 2004/9

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N2 - 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 Marotte theorem. Numerical simulations are given to verify the theoretical analysis. © 2004 American Institute of Physics.

AB - 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 Marotte theorem. Numerical simulations are given to verify the theoretical analysis. © 2004 American Institute of Physics.

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UR - https://www.scopus.com/pages/publications/7244240684#tab=impact

U2 - 10.1063/1.1763014

DO - 10.1063/1.1763014

M3 - RGC 21 - Publication in refereed journal

SN - 1054-1500

VL - 14

SP - 662

EP - 668

JO - Chaos

JF - Chaos

IS - 3

ER -

A simple time-delay feedback anticontrol method made rigorous

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