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Local bifurcations of the Chen system. (English) Zbl 1047.34044
Summary: We introduce a new practical method for distinguishing chaotic, periodic and quasi-periodic orbits based on a new criterion, and apply it to investigate the local bifurcations of the Chen system. Conditions for supercritical and subcritical bifurcations are obtained, with their parameter domains specified. The analytic results are also verified by numerical simulation studies.
MSC:
34C23Bifurcation (ODE)
34C25Periodic solutions of ODE
34C28Complex behavior, chaotic systems (ODE)
37D45Strange attractors, chaotic dynamics
34C60Qualitative investigation and simulation of models (ODE)
34A34Nonlinear ODE and systems, general