Expansive homoclinic classes
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Publication:3623239
DOI10.1088/0951-7715/22/4/002zbMath1158.37301arXiv0810.0589OpenAlexW3105139581MaRDI QIDQ3623239
Publication date: 16 April 2009
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0810.0589
Generic properties, structural stability of dynamical systems (37C20) Dynamical systems with hyperbolic orbits and sets (37D05) Homoclinic and heteroclinic orbits for dynamical systems (37C29)
Related Items (34)
C1-stably ℒpshadowable homoclinic classes ⋮ Hyperbolicity versus weak periodic orbits inside homoclinic classes ⋮ General expansiveness for diffeomorphisms from the robust and generic properties ⋮ Unnamed Item ⋮ Expansive homoclinic classes of generic \(C^{1}\)-vector fields ⋮ On bi-Lyapunov stable homoclinic classes ⋮ Continuum-wise expansiveness for generic diffeomorphisms ⋮ Positively expansive differentiable maps ⋮ Weak measure expansiveness for partially hyperbolic diffeomorphisms ⋮ Positively measure-expansive differentiable maps ⋮ Generic Bowen-expansive flows ⋮ Robustly measure expansiveness for C1 vector fields ⋮ Continuum-wise expansive homoclinic classes for robust dynamical systems ⋮ Asymptotic measure expansive flows ⋮ Local topological stability for diffeomorphisms ⋮ Symbolic extensions and dominated splittings for generic \(C^1\)-diffeomorphisms ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Usual limit shadowable homoclinic classes of generic diffeomorphisms ⋮ Periodic orbits and expansiveness ⋮ Expansive transitive sets for robust and generic diffeomorphisms ⋮ Measure expansivity for \(C^1\)-conservative systems ⋮ Diffeomorphisms with thes-limit shadowing property ⋮ Generic diffeomorphisms with measure-expansive homoclinic classes ⋮ Periodically expansive homoclinic classes ⋮ On the hyperbolicity of \(\operatorname{C}^1\)-generic homoclinic classes ⋮ The ergodic shadowing property from the robust and generic view point ⋮ Asymptotic measure-expansiveness for generic diffeomorphisms ⋮ Measure expansive flows for the generic view point ⋮ Hyperbolicity, transitivity and the two-sided limit shadowing property ⋮ Uniform hyperbolicity along periodic orbits ⋮ HYPERBOLICITY OF HOMOCLINIC CLASSES OF VECTOR FIELDS ⋮ Robustly \(N\)-expansive surface diffeomorphisms ⋮ Continuum-wise expansive diffeomorphisms and conservative systems
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