Title
Analytical Hopf Bifurcation and Stability Analysis of T System
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
ISSN
0253-6102
Recommended Citation
"Analytical Hopf Bifurcation and Stability Analysis of T System" (2011). Faculty Bibliography 2010s. 2036.
https://stars.library.ucf.edu/facultybib2010/2036
Comments
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