Tame dynamics and robust transitivity chain-recurrence classes versus homoclinic classes

DOI10.1090/S0002-9947-2014-06261-2zbMath1309.37025OpenAlexW2002045777MaRDI QIDQ3190734

Nicolas Gourmelon, Sylvain Crovisier, Rafael Potrie, Christian Bonatti

Publication date: 19 September 2014

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-2014-06261-2

zbMATH Keywords

transitivitychain recurrence class\(C^1\)-robustnesstame dynamics

Mathematics Subject Classification ID

Generic properties, structural stability of dynamical systems (37C20) Partially hyperbolic systems and dominated splittings (37D30) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Bifurcations connected with nontransversal intersection in dynamical systems (37G25) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

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