Abstract
The problem of the global behavior of the system with 3/2 degrees of freedom is considered in this paper. The results of the theoretical investigation of the case when the systems approach a nonlinear Hamiltonian system are presented. Using, for example, the Duffing-van der Pol equation, computer analysis gives good agreement with theory when the external force has moderate amplitude values (“miracle of a small parameter”). The bifurcations of the invariant torus and resonances are analyzed as a function of the system parameters.
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