Resonance bifurcation from homoclinic cycles

DOI10.1016/j.jde.2009.01.034zbMath1170.34031OpenAlexW1999725193MaRDI QIDQ1014719

Ale Jan Homburg, Ramon Driesse

Publication date: 29 April 2009

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2009.01.034

zbMATH Keywords

periodic solutionsdynamical systemshomoclinic cyclesresonant bifurcation

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items

Sequential dynamics in the motif of excitatory coupled elements, Effect of noise on residence times of a heteroclinic cycle, Construction of heteroclinic networks in ${{\mathbb{R}}^{4}}$, A new mechanism for stability loss from a heteroclinic cycle

Cites Work

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