Separatrix conditions yielding either periodic orbits or unusal behavior for flows on \(M^ 3\)

DOI10.1007/BF02188030zbMath0539.58029OpenAlexW4250994330MaRDI QIDQ794042

D. R. Naugler, Carl S. Hartzman

Publication date: 1981

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/136908

zbMATH Keywords

Seifert conjecturehigher order separatricesinvariant solid torusminimal toriseparatrix set

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Cites Work

• Necessary and sufficient conditions that a 3-manifold be \(S^3\)
• Separatrices and singular points
• Counterexamples to the Seifert conjecture and opening closed leaves of foliations
• Flows on the solid torus asymptotic to the boundary
• Invariant sets which carry a one-form
• Separatrix Structure for Elliptic Flows
• Isolated Invariant Sets and Isolating Blocks

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