Homoclinic bifurcations of endomorphisms: The codimension one case

DOI10.1016/S0893-9659(98)00107-4zbMath0948.37039WikidataQ126422290 ScholiaQ126422290MaRDI QIDQ1808586

Leonardo Mora

Publication date: 23 November 2000

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

periodic pointsendomorphismhomoclinic bifurcationsrepelling fixed pointnoninvertible mapdegenerate homoclinic pointstrange expanding sets

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

Related Items

Low-Dimensional Homoclinic Bifurcations of Repellers

Cites Work

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• Absolutely continuous invariant measures for one-parameter families of one-dimensional maps
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• Partially hyperbolic fixed points
• Homoclinic bifurcations in n-dimensional endomorphisms, due to expanding periodic points
• Persistence of homoclinic tangencies in higher dimensions