Title

Analytical Hopf Bifurcation and Stability Analysis of T System

Authors

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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