Spaces of dynamical systems

zbMath1294.37002MaRDI QIDQ5891502

Sergei Yu. Pilyugin

Publication date: 13 April 2012

Published in: De Gruyter Studies in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://www.degruyter.com/viewbooktoc/product/174334

zbMATH Keywords

fixed pointsdynamical systemsstructural stabilityperiodic pointsshadowinggeneric propertiespseudotrajectorieshyperbolic orbits and setssmooth mappings and diffeomorphisms

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Generic properties, structural stability of dynamical systems (37C20) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Dynamical systems with hyperbolic orbits and sets (37D05) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02) Dynamical systems involving smooth mappings and diffeomorphisms (37C05) History of dynamical systems and ergodic theory (37-03)

Related Items (12)

Hölder shadowing in the case of cubic tangency ⋮ Periodic shadowing and \(\Omega \)-stability ⋮ Convergence rate for perturbations of Morse-Smale semiflow ⋮ Is every pseudo-orbit of some homeomorphism near an exact orbit of a nearby homeomorphism? ⋮ Inverse shadowing and related measures ⋮ Multidimensional \(C^0\) transversality ⋮ A measure and orientation preserving homeomorphism with approximate Jacobian equal -1 almost everywhere ⋮ s-limit shadowing is \(\mathcal C^0\)-dense ⋮ Sets of invariant measures and Cesaro stability ⋮ Shadowing in the case of nontransverse intersection ⋮ Lower semicontinuity of invariant sets for nonautonomous processes and skew products ⋮ On absolute nonshadowability of transitive maps

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