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Simple delay systems with chaotic dynamics

Tian, Yu-Chu & Gao, Furong (1997) Simple delay systems with chaotic dynamics. In 1st International Conference on Control of Oscillations and Chaos, 27-29 August 1997, St Petersburg, Russia.

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Abstract

A class of simple delay systems, described by a first-order, autonomous, differential equation with a time delay, is shown in this paper to be able to simulate or produce continuous-time chaos. A set of conditions is postulated for such systems to behave chaotically. A sinusoidal delay function is given as an example to illustrate the system.

Impact and interest:

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ID Code: 1576
Item Type: Conference Paper
Keywords: chaos, delay systems, differential equations, dynamics
DOI: 10.1109/COC.1997.631356
ISBN: 078034247X
Subjects: Australian and New Zealand Standard Research Classification > PHYSICAL SCIENCES (020000) > OTHER PHYSICAL SCIENCES (029900) > Physical Sciences not elsewhere classified (029999)
Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > APPLIED MATHEMATICS (010200) > Calculus of Variations Systems Theory and Control Theory (010203)
Divisions: Past > QUT Faculties & Divisions > Faculty of Science and Technology
Copyright Owner: Copyright 1997 IEEE
Copyright Statement: Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
Deposited On: 13 Oct 2005
Last Modified: 09 Jun 2010 22:25

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