Dynamic analysis and numerical simulation of a kind of 3-dimensional hybrid chaotic system

WANG Bo; ZHANG Xiaodan

doi:10.13374/j.issn1001-053x.2007.06.042

Volume 29 Issue 6

Aug. 2021

Turn off MathJax

Article Contents

Article Navigation > Chinese Journal of Engineering > 2007 > 29(6): 636-640

WANG Bo, ZHANG Xiaodan. Dynamic analysis and numerical simulation of a kind of 3-dimensional hybrid chaotic system[J]. Chinese Journal of Engineering, 2007, 29(6): 636-640. doi: 10.13374/j.issn1001-053x.2007.06.042

Citation:

WANG Bo, ZHANG Xiaodan. Dynamic analysis and numerical simulation of a kind of 3-dimensional hybrid chaotic system[J]. Chinese Journal of Engineering, 2007, 29(6): 636-640. doi: 10.13374/j.issn1001-053x.2007.06.042

Citation:

PDF( 594 KB)

Dynamic analysis and numerical simulation of a kind of 3-dimensional hybrid chaotic system

doi: 10.13374/j.issn1001-053x.2007.06.042

Applied Science School, University of Science and Technology Beijing, Beijing 100083, China

Received Date: 2006-03-20
Rev Recd Date: 2006-12-01

Available Online: 2021-08-16

Abstract

Abstract

A kind of 3-dimensional three-linear hybrid chaotic system was achieved by adding feedback control item under discontinuous state, which is a switching type of piecewise-linear controller to a 3-dimensional unstable linear system. Systemic dynamic analysis was accomplished for a kind of three-linear hybrid chaotic system, and three theorems were given. Numeric simulation and calculating all Lyapunov exponents verify their chaos.
- linear differential system,
- anti-control of chaos,
- hybrid system,
- numerical simulation,
- lyapunov exponent