Nongeneric bifurcations near heterodimensional cycles with inclination flip in \(\mathbb{R}^4\)

DOI10.3934/dcdss.2011.4.1511zbMath1257.34026OpenAlexW2333430261MaRDI QIDQ542544

Shigui Ruan, Dan Liu, De-Ming Zhu

Publication date: 10 June 2011

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

Full work available at URL: https://doi.org/10.3934/dcdss.2011.4.1511

zbMATH Keywords

bifurcationinclination flipPoincaré mapheterodimensional cycle

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) Bifurcations connected with nontransversal intersection in dynamical systems (37G25)

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