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On homoclinic bifurcations with symmetry
2007This thesis deals with the description of solutions of symmetric dynamical systems that lie in the neighbourhood of a homoclinic or heteroclinic cycle. Homoclinic and heteroclinic cycles are the main mechanism by which complicated behaviour is known to arise in dynamical systems.
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Homoclinic bifurcation in a quasiperiodically excited impact inverted pendulum
, 2015Junming Gao, Zhengdong Du
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Nonlinearly Resonant Surface Waves and Homoclinic Bifurcation
1988In this survey paper, recent results are presented concerning the propagation of nonlinear waves on the surface of an inviscid heavy fluid layer of finite depth. In particular, motions of moderate amplitude in steady two-dimensional flows are considered which are induced by a localized or spatially periodic pressure distribution moving along the ...
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Homoclinic bifurcation threshold of a bistable system for piezoelectric energy harvesting
, 2015Haitao Li, W. Qin
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Homoclinic Bifurcations and Strange Attractors
1995We present an overview of the theory of homoclinic bifurcations, with particular emphasis on recent developments exploring its links to the study of chaotic dynamics and strange attractors.
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Approximations of the Homoclinic Orbits Near a Double-Zero Bifurcation with Symmetry of Order Two
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2017C. Rocsoreanu, Mihaela Sterpu
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Homoclinic bifurcation of prey-predator model with impulsive state feedback control
Applied Mathematics and Computation, 2014Chunjin Wei, Lansun Chen
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