Bifurcation of nongeneric homoclinic orbit accompanied by pitchfork bifurcation

DOI10.1155/2014/197914zbMath1472.34071OpenAlexW2024454600WikidataQ59035974 ScholiaQ59035974MaRDI QIDQ1722330

Song Li, Fengjie Geng

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/197914

zbMATH Keywords

bifurcationpitchfork bifurcationnongeneric homoclinic orbit

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Cites Work

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• Bifurcations of heteroclinic loop accompanied by pitchfork bifurcation
• Bifurcation of a homoclinic orbit with a saddle-node equilibrium
• Homoclinic bifurcation with nonhyperbolic equilibria
• Homoclinic flip bifurcation with a nonhyperbolic equilibrium
• Codimension-one persistence beyond all orders of homoclinic orbits to singular saddle centres in reversible systems
• Bifurcation of Homoclinic Orbits to a Saddle-Center in Reversible Systems
• Two-heteroclinic orbits emerging in the reversible homoclinic pitchfork bifurcation

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