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Bifurcations of multiple homoclinics in general dynamical systems

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Publication:550375
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DOI10.3934/dcds.2011.30.945zbMath1221.37108OpenAlexW2313400164MaRDI QIDQ550375

Yan Cong Xu, Xing Bo Liu, De-Ming Zhu

Publication date: 8 July 2011

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2011.30.945


zbMATH Keywords

bifurcationshomoclinic bellowsSilnikov coordinates


Mathematics Subject Classification ID

Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)


Related Items (4)

Analysis of a Shil'nikov type homoclinic bifurcation ⋮ Bifurcations of heteroclinic loop accompanied by pitchfork bifurcation ⋮ Existence of periodic orbits and shift-invariant curve sequences near multiple homoclinics ⋮ Bifurcation of an orbit homoclinic to a hyperbolic saddle of a vector field in \(\mathbb{R}^4\)




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