Analytical Hopf Bifurcation and Stability Analysis of T System
Abbreviated Journal Title
Commun. Theor. Phys.
extended Hopf bifurcation analysis; method of multiple scales; T system; stability analysis; SYNCHRONIZATION; CHAOS; Physics, Multidisciplinary
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.
Communications in Theoretical Physics
"Analytical Hopf Bifurcation and Stability Analysis of T System" (2011). Faculty Bibliography 2010s. 2036.