ANALYSIS AND STRUCTURE OF A NEW CHAOTIC SYSTEM-Reference-Cited by-同舟云学术

ANALYSIS AND STRUCTURE OF A NEW CHAOTIC SYSTEM

Published:1999-08 Issue:08 Volume:09 Page:1571-1583
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

BANKS S. P.¹

Affiliation:

1. Department of Automatic Control and Systems Engineering, University of Sheffield, Mappin Street, Sheffield S1 3JD, UK

Abstract

A new chaotic system introduced in a recent paper [Banks & McCaffrey, 1998] is analyzed in detail. It is based on the theory of Lie algebras and is inspired by the well-known systems of Lorenz and Chua. The dynamics of an invariant semisimple part is first studied and then the full system is considered to be a perturbation of this invariant part.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127499001097

Reference6 articles.

1. Lie algebras and the stability of nonlinear systems

2. Pseudo-linear systems, Lie algebras, and stability

3. Lie Algebras, Structure of Nonlinear Systems and Chaotic Motion

4. LORENZ EQUATION AND CHUA’S EQUATION

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