On homoclinic tangencies, hyperbolicity, creation of homoclinic orbits and variation of entropy

DOI10.1088/0951-7715/13/3/323zbMath0983.37059OpenAlexW2160647635MaRDI QIDQ4494873

Martín Sambarino, Enrique R. Pujals

Publication date: 9 August 2000

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/13/3/323

zbMATH Keywords

topological entropyunfoldinghomoclinic tangencies

Mathematics Subject Classification ID

Topological entropy (37B40) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Bifurcations connected with nontransversal intersection in dynamical systems (37G25) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

Related Items (6)

A consequence of the growth of rotation sets for families of diffeomorphisms of the torus ⋮ Essential hyperbolicity and homoclinic bifurcations: a dichotomy phenomenon/mechanism for diffeomorphisms ⋮ On Araujo's theorem for flows ⋮ Pinball billiards with dominated splitting ⋮ Density of hyperbolicity and tangencies in sectional dissipative regions ⋮ Homoclinic tangency and variation of entropy

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