Bifurcations of a nongeneric heteroclinic loop with nonhyperbolic equilibria

DOI10.3934/dcdsb.2013.18.133zbMath1276.34033OpenAlexW2034950395MaRDI QIDQ1943287

Fengjie Geng, Junfang Zhao, Weipeng Zhang, De-Ming Zhu

Publication date: 19 March 2013

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

Full work available at URL: https://doi.org/10.3934/dcdsb.2013.18.133

zbMATH Keywords

transcritical bifurcationPoincaré mapnonhyperbolic equilibriumlocal moving framenongeneric heteroclinic loop

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Bifurcations of singular points in dynamical systems (37G10) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)

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