Abstract

In this chapter, Hamiltonian chaos in parametric dynamical systems is presented and dedicated to the 90th birthday of Professor C.S. Hsu. This research was originally inspired by the study of the stability of linear parametric dynamical systems completed by C.S. Hsu in the1960s. This research indicated that the resonance in nonlinear parametrical systems is different from the corresponding linear systems. Thus, in the vicinity of the resonant separatrix, the Hamiltonian chaos caused by local instability is distinguished from traditional perturbation analysis.

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