Closing lemma for piecewise smooth vector fields with a recurrent point

DOI10.1016/J.NAHS.2024.101495zbMATH Open1541.37022MaRDI QIDQ6581265

Otávio M. L. Gomide, Tiago de Carvalho, André Amaral Antunes

Publication date: 30 July 2024

Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)

zbMATH Keywords

recurrencepiecewise smooth vector fieldclosing lemma

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Discontinuous ordinary differential equations (34A36) Periodic orbits of vector fields and flows (37C27)

Cites Work

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• Regularization of discontinuous vector fields on \({\mathbb{R}^3}\) via singular perturbation
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• The Closing Lemma in Retrospect
• A counter-example to a C² closing lemma
• The closing lemma and structural stability
• The Closing Lemma
• An Improved Closing Lemma and a General Density Theorem

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