Bifurcation of an orbit homoclinic to a hyperbolic saddle of a vector field in \(\mathbb{R}^4\)

DOI10.1155/2015/571838zbMath1418.37085OpenAlexW2082095597WikidataQ59105992 ScholiaQ59105992MaRDI QIDQ1723391

Dianli Zhao, Tian-Si Zhang

Publication date: 19 February 2019

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/571838

Mathematics Subject Classification ID

Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

Cites Work

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• Fast and slow waves in the FitzHugh-Nagumo equation
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• BIFURCATIONS OF HOMOCLINIC ORBIT CONNECTING TWO NONLEADING EIGENDIRECTIONS
• HETERODIMENSIONAL CYCLE BIFURCATION WITH ORBIT-FLIP
• MULTIPLE HOMOCLINIC BIFURCATIONS FROM ORBIT-FLIP I: SUCCESSIVE HOMOCLINIC DOUBLINGS
• A global investigation of solitary-wave solutions to a two-parameter model for water waves
• Resonant homoclinic flip bifurcations
• Homoclinic-doubling cascades.

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