The transversal homoclinic point of a saddle-node implies horseshoe.

DOI10.1007/BF02878988zbMath1157.37326MaRDI QIDQ1961646

Weigu Li

Publication date: 30 January 2000

Published in: Science in China. Series A (Search for Journal in Brave)

zbMATH Keywords

horseshoesaddle nodetransversal homoclinic point

Mathematics Subject Classification ID

Homoclinic and heteroclinic orbits for dynamical systems (37C29) Local and nonlocal bifurcation theory for dynamical systems (37G99) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Cites Work

• Embedding flows and smooth conjugacy
• Partially hyperbolic fixed points
• Unnamed Item

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