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Bifurcations and fast-slow behaviors in a hyperchaotic dynamical system
- Source :
-
Communications in Nonlinear Science & Numerical Simulation . Apr2011, Vol. 16 Issue 4, p1998-2005. 8p. - Publication Year :
- 2011
-
Abstract
- Abstract: This paper reports a four-dimension (4D) fast-slow hyperchaotic system with the structure of two time scales by adding a slow state variable w into a three-dimension (3D) chaotic dynamical system, studies the stability and Hopf bifurcation of origin point. Furthermore, based on the fast-slow dynamical bifurcation analysis and the phase planes analysis, different bursting phenomena, symmetric fold/fold bursting, symmetric sub-Hopf/sub-Hopf bursting and chaotic bursting, as well as chaotic and periodic spiking, are observed in the fast-slow hyperchaotic system. Numerical simulations are presented to show these results. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10075704
- Volume :
- 16
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Communications in Nonlinear Science & Numerical Simulation
- Publication Type :
- Periodical
- Accession number :
- 54884945
- Full Text :
- https://doi.org/10.1016/j.cnsns.2010.08.038