Generation of transient chaos from two-dimensional systems via a switching approach

doi:10.1088/1674-1056/22/3/030507

Abstract A new approach of generating transient chaos from two-dimensional (2D) continuous autonomous systems within finite time is presented. Based on an absolute-value switching law, the phenomenon of transient chaos takes place by switching between three 2D systems. Basic dynamical behaviors of the systems are investigated. Numerical examples illustrate the validity of the results.

Keywords: two-dimensional systems chaos generation switching control transient chaos

Received: 11 May 2012
Revised: 03 August 2012
Accepted manuscript online:

PACS:

05.45.Gg

(Control of chaos, applications of chaos)

Fund: Project supported by the Natural Science Foundation of Liaoning Province, China (Grant No. 201102181).

Corresponding Authors: Sun Chang-Chun
E-mail: changchunsun@sina.com

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Sun Chang-Chun (孙常春), Xu Qi-Cheng (徐启程), Sui Ying (隋英) Generation of transient chaos from two-dimensional systems via a switching approach 2013 Chin. Phys. B 22 030507

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