Emergence of chaotic regimes in the generalized Lorenz canonical form: a competitive modes analysis

    Authors

    R. A. Van Gorder

    Comments

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    Abbreviated Journal Title

    Nonlinear Dyn.

    Keywords

    Generalized Lorenz canonical form; Competitive modes; Chaos; Chaotic; regime; CHENS SYSTEM; BIFURCATION; ATTRACTOR; Engineering, Mechanical; Mechanics

    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 Lu 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.

    Journal Title

    Nonlinear Dynamics

    Volume

    66

    Issue/Number

    1-2

    Publication Date

    1-1-2011

    Document Type

    Article

    Language

    English

    First Page

    153

    Last Page

    160

    WOS Identifier

    WOS:000294959300012

    ISSN

    0924-090X

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