The paper mainly focuses on a novel hyperchaotic system. The local stability of equilibrium is analyzed and existence of Hopf bifurcation is established. Moreover, formulas for determining the stability and direction of bifurcating periodic solutions are derived by center manifold theorem and normal form theory. Finally, numerical simulation is given to illustrate the theoretical analysis.
Hopf Bifurcation Analysis for a Novel Hyperchaotic System
Contributed by the Design Engineering Division of ASME for publication in the Journalof Computationaland Nonlinear Dynamics. Manuscript received March 18, 2011; final manuscript received March 5, 2012; published online June 14, 2012. Assoc. Editor: Henryk Flashner.
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Zhuang, K. (June 14, 2012). "Hopf Bifurcation Analysis for a Novel Hyperchaotic System." ASME. J. Comput. Nonlinear Dynam. January 2013; 8(1): 014501. https://doi.org/10.1115/1.4006327
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