Bifurcation and non-bifurcation of compact orbits by change of stability behavior

DOI10.1007/BF02941484zbMath0561.58035MaRDI QIDQ2266503

Dieter Erle

Publication date: 1985

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

zbMATH Keywords

asymptotic stabilityHopf bifurcationclosed orbitstationary pointPoincaré-Bendixson TheoremPoincaré-Hopf TheoremSeifert Conjecture

Mathematics Subject Classification ID

Ordinary differential equations and systems on manifolds (34C40) Stability theory for smooth dynamical systems (37C75) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Cites Work

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• Counterexamples to the Seifert conjecture and opening closed leaves of foliations
• The structure of the level surfaces of a Lyapunov function
• On the minimal sets of non-singular vector fields

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