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Abstract:
The extended Melnikov method, which was used to solve autonomous perturbed Hamiltonian systems, is improved to deal with high-dimensional non-autonomous nonlinear dynamical systems. The multi-pulse Shilnikov type chaotic dynamics of a parametrically and externally excited, simply supported rectangular thin plate is studied by using the extended Melnikov method. A two-degree-of-freedom non-autonomous nonlinear system of the rectangular thin plate is derived by the von Karman type equation and the Galerkin approach. The case of buckling is considered for the rectangular thin plate. The extended Melnikov method is directly applied to the non-autonomous governing equations of motion to investigate multi-pulse Shilnikov type chaotic motions of the buckled rectangular thin plate for the first time. The results obtained here indicate that multi-pulse chaotic motions can occur in the parametrically and externally excited, simply supported buckled rectangular thin plate. (C) 2009 Elsevier Ltd. All rights reserved.
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NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
ISSN: 1468-1218
Year: 2010
Issue: 3
Volume: 11
Page: 1442-1457
2 . 0 0 0
JCR@2022
ESI Discipline: MATHEMATICS;
JCR Journal Grade:1
CAS Journal Grade:1
Cited Count:
WoS CC Cited Count: 51
SCOPUS Cited Count: 53
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 8
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