Analytical Hopf Bifurcation and Stability Analysis of T System

    Authors

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

    Comments

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    Abbreviated Journal Title

    Commun. Theor. Phys.

    Keywords

    extended Hopf bifurcation analysis; method of multiple scales; T system; stability analysis; SYNCHRONIZATION; CHAOS; Physics, Multidisciplinary

    Abstract

    Complex dynamics are studied in the T system, a three-dimensional autonomous nonlinear system. In particular, we perform an extended Hopf bifurcation analysis of the system. The periodic orbit immediately following the Hopf bifurcation is constructed analytically for the T system using the method of multiple scales, and the stability of such orbits is analyzed. Such analytical results complement the numerical results present in the literature. The analytical results in the post-bifurcation regime are verified and extended via numerical simulations, as well as by the use of standard power spectra, autocorrelation functions, and fractal dimensions diagnostics. We find that the T system exhibits interesting behaviors in many parameter regimes.

    Journal Title

    Communications in Theoretical Physics

    Volume

    55

    Issue/Number

    4

    Publication Date

    1-1-2011

    Document Type

    Article

    Language

    English

    First Page

    609

    Last Page

    616

    WOS Identifier

    WOS:000289985300017

    ISSN

    0253-6102

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