科研之友
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摘要
The global bifurcations in mode of an imperfect circular plate are investigated with the case of the 1:1 internal resonance and 1:3 primary resonance. After determining the equations of motion in a suitable form, the energy phase method proposed by Haller and Wiggins is employed to show the existence of the Silnikov-type multi-pulse orbits homoclinic to certain invariant sets for the two cases of Hamiltonian and dissipative perturbation. Furthermore, some complex chaos behaviors are revealed for this class of systems.
