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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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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 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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Homoclinic Bifurcation of a Grid-Forming Voltage Source Converter
IEEE Transactions on Power Electronics, 2021Jingxi Yang, Chi K Tse, Meng Huang
exaly
Homoclinic bifurcation of prey–predator model with impulsive state feedback control
Applied Mathematics and Computation, 2014Chunjin Wei, Lansun Chen
exaly
Homoclinic bifurcation in a quasiperiodically excited impact inverted pendulum
Nonlinear Dynamics, 2014Zhengdong Du
exaly