Pseudo-orbit tracing property and strong transversality of diffeomorphisms on closed manifolds
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Publication:1343889
zbMath0820.58045MaRDI QIDQ1343889
Publication date: 11 September 1995
Published in: Osaka Journal of Mathematics (Search for Journal in Brave)
Axiom A diffeomorphismpseudo-orbit tracing propertystrong transversality conditionno-cycle condition
Related Items (53)
Generic diffeomorphisms with weak limit shadowing ⋮ Partial hyperbolicity and pseudo orbit tracing properties ⋮ \(C^1\)-stably shadowable chain components are hyperbolic ⋮ Vector fields with the oriented shadowing property ⋮ The barycenter property for robust and generic diffeomorphisms ⋮ Divergence-free vector fields with orbital shadowing ⋮ Structural stability of vector fields with shadowing ⋮ Weakly shadowable vector fields on non-oriented surfaces ⋮ Oriented and orbital shadowing for vector fields ⋮ Pointwise persistence and shadowing ⋮ Vector fields with the asymptotic orbital pseudo-orbit tracing property ⋮ Vector fields with stable shadowable property on closed surfaces ⋮ Shadowing, entropy and minimal subsystems ⋮ Vector fields with stably limit shadowing ⋮ Periodic shadowing and \(\Omega \)-stability ⋮ Divergence-free vector fields with average and asymptotic average shadowing property ⋮ Symplectic diffeomorphisms with limit shadowing ⋮ Chain components with \(C^1\)-stably orbital shadowing ⋮ Theory of pseudo-orbit shadowing in dynamical systems ⋮ \(\mathscr{M}\)-shadowing and transitivity for flows ⋮ Smooth TA-maps with robust shadowing are Axiom A ⋮ Weak shadowing property for flows on oriented surfaces ⋮ Weak forms of shadowing in topological dynamics ⋮ Flows with ergodic pseudo orbit tracing property ⋮ Unnamed Item ⋮ Gluing orbit property and partial hyperbolicity ⋮ Chain components with stably limit shadowing property are hyperbolic ⋮ Hamiltonian systems with orbital, orbital inverse shadowing ⋮ Lipschitz shadowing and structural stability of flows ⋮ Orbital shadowing property on chain transitive sets for generic diffeomorphisms ⋮ Shadowing is generic -- a continuous map case ⋮ Leafwise shadowing property for partially hyperbolic diffeomorphisms ⋮ Sets of dynamical systems with various limit shadowing properties ⋮ Orbital shadowing and stability for vector fields ⋮ Orbital shadowing for 3-flows ⋮ Diffeomorphisms with a generalized Lipschitz shadowing property ⋮ Diffeomorphisms with the average-shadowing property on two-dimensional closed manifolds ⋮ Diffeomorphisms with \(\mathcal L^{p}\)-shadowing property ⋮ Partial hyperbolicity and specification ⋮ Unnamed Item ⋮ The ergodic shadowing property from the robust and generic view point ⋮ Shadowing in linear skew products ⋮ A type of the shadowing properties for generic view points ⋮ Diffeomorphisms with shadowable measures ⋮ Diffeomorphisms satisfying the specification property ⋮ Orbital shadowing for \(C^1\)-generic volume-preserving diffeomorphisms ⋮ Asymptotic orbital shadowing property for diffeomorphisms ⋮ A generalized Lipschitz shadowing property for flows ⋮ On absolute nonshadowability of transitive maps ⋮ Inverse pseudo orbit tracing property for robust diffeomorphisms ⋮ Oriented shadowing property and \(\Omega\)-stability for vector fields ⋮ Periodic shadowing of vector fields ⋮ Differentiable maps having the uniformly shadowing property
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