Homoclinic bifurcations, fat attractors and invariant curves

DOI10.3934/DCDS.2003.9.1133zbMath1039.37029OpenAlexW2082999362MaRDI QIDQ1811367

Leonardo Mora

Publication date: 2003

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2003.9.1133

zbMATH Keywords

endomorphismsattractorsinvariant curveshomoclinic bifurcationsHausdoff dimension

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Bifurcations connected with nontransversal intersection in dynamical systems (37G25) Dimension theory of smooth dynamical systems (37C45)

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