Continuum-wise expansive symplectic diffeomorphisms

DOI10.1016/j.chaos.2014.11.007zbMath1351.37112OpenAlexW2004190894MaRDI QIDQ728160

Manseob Lee

Publication date: 19 December 2016

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2014.11.007

zbMATH Keywords

symplectic diffeomorphismAnosovmixing Anosovcontinuum-wise expansivity

Mathematics Subject Classification ID

Related Items (2)

Continuum-wise expansiveness for non-conservative or conservative systems ⋮ Asymptotic measure-expansiveness for generic diffeomorphisms

Cites Work

• Continuum-wise expansive diffeomorphisms and conservative systems
• Generic expansive Hamiltonian systems
• Realization of tangent perturbations in discrete and continuous time conservative systems
• Periodic orbits and expansiveness
• Partial hyperbolicity for symplectic diffeomorphisms
• Shadowing, expansiveness and specification for \(C^1\)-conservative systems
• Persistently expansive geodesic flows
• Concerning continuum-wise fully expansive homeomorphisms of continua
• Continuum-wise expansive diffeomorphisms
• \(C^1\)-persistently continuum-wise expansive homoclinic classes and recurrent sets
• Shades of hyperbolicity for Hamiltonians
• Partial hyperbolicity or dense elliptic periodic points for 𝐶¹-generic symplectic diffeomorphisms
• Quasi-Elliptic Periodic Points in Conservative Dynamical Systems
• Continuum-Wise Expansive Homeomorphisms
• The generic symplectic C^{1}-diffeomorphisms of four-dimensional symplectic manifolds are hyperbolic, partially hyperbolic or have a completely elliptic periodic point
• Transitivity and Topological Mixing for $${C}^{1}$$ Diffeomorphisms
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