Title

Analytical Hopf Bifurcation And Stability Analysis Of T System

Keywords

extended Hopf bifurcation analysis; method of multiple scales; stability analysis; T system

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. © 2011 Chinese Physical Society and IOP Publishing Ltd.

Publication Date

4-1-2011

Publication Title

Communications in Theoretical Physics

Volume

55

Issue

4

Number of Pages

609-616

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1088/0253-6102/55/4/17

Socpus ID

79955653372 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/79955653372

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