Title

Emergence Of Chaotic Regimes In The Generalized Lorenz Canonical Form: A Competitive Modes Analysis

Keywords

Chaos; Chaotic regime; Competitive modes; Generalized Lorenz canonical form

Abstract

The recently-developed technique of competitive modes analysis is applied to determine parameter regimes for which the generalized Lorenz canonical form, a system constructed by Celikovsky and Chen, which holds many other chaotic systems (such as the Lorenz system, the Lü system, the Chen system, and the Shimizu-Morioka system), may exhibit chaotic behavior. We verify that the generalized Lorenz canonical form exhibits interesting behaviors in the many parameter regimes thus obtained, thereby demonstrating the great utility of the competitive modes approach in delineating chaotic regimes in multi-parameter systems, where their identification can otherwise involve tedious numerical searches. © 2010 Springer Science+Business Media B.V.

Publication Date

10-1-2011

Publication Title

Nonlinear Dynamics

Volume

66

Issue

1-2

Number of Pages

153-160

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1007/s11071-010-9917-x

Socpus ID

80053571109 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/80053571109

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