CLASSIFICATION OF CHAOTIC REGIMES IN THE T SYSTEM BY USE OF COMPETITIVE MODES

    Authors

    R. A. Van Gorder;S. R. Choudhury

    Comments

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    Abbreviated Journal Title

    Int. J. Bifurcation Chaos

    Keywords

    Competitive modes; T system; analysis of chaos; SYNCHRONIZATION; Mathematics, Interdisciplinary Applications; Multidisciplinary Sciences

    Abstract

    We study chaotic behavior of the T system, a three-dimensional autonomous nonlinear system introduced by G. Tigan [Analysis of a dynamical system derived from the Lorenz system, Sci. Bull. Politehnica Univ Timisoara 50 (2005) 61-72] which has potential application in secure communications. The recently-developed technique of competitive modes analysis is applied to determine parameter regimes for which the system may exhibit chaotic behavior. We verify that the T system 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 multiparemeter systems, where their identification can otherwise involve tedious numerical searches. An additional, novel finding is that one may use competitive modes "at infinity" in order to identify parameter regimes admitting stable equilibria in dynamical models such as the T system.

    Journal Title

    International Journal of Bifurcation and Chaos

    Volume

    20

    Issue/Number

    11

    Publication Date

    1-1-2010

    Document Type

    Article

    Language

    English

    First Page

    3785

    Last Page

    3793

    WOS Identifier

    WOS:000286430700023

    ISSN

    0218-1274

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