Lipschitz shadowing and structural stability of flows
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Publication:652501
DOI10.1016/J.JDE.2011.07.026zbMath1246.37044arXiv1103.3210OpenAlexW1993558132MaRDI QIDQ652501
Sergei Yu. Pilyugin, Sergey B. Tikhomirov, Kenneth James Palmer
Publication date: 14 December 2011
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1103.3210
Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50)
Related Items (16)
Weakly shadowable vector fields on non-oriented surfaces ⋮ Oriented and orbital shadowing for vector fields ⋮ Is every pseudo-orbit of some homeomorphism near an exact orbit of a nearby homeomorphism? ⋮ Measurable weighted shadowing for random dynamical systems on Banach spaces ⋮ Theory of pseudo-orbit shadowing in dynamical systems ⋮ Oriented and standard shadowing properties for topological flows ⋮ Weak forms of shadowing in topological dynamics ⋮ Lipschitz inverse shadowing for non-singular flows ⋮ Weak dual pairs and jetlet methods for ideal incompressible fluid models in \(n \geq 2\) dimensions ⋮ Sets of invariant measures and Cesaro stability ⋮ An example of a vector field with the oriented shadowing property ⋮ Relations between shadowing and inverse shadowing in dynamical systems ⋮ A generalized Lipschitz shadowing property for flows ⋮ Admissibility, a general type of Lipschitz shadowing and structural stability ⋮ Oriented shadowing property and \(\Omega\)-stability for vector fields ⋮ Periodic shadowing of vector fields
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