The space of dynamical systems with the \(C^ 0\)-topology

DOI10.1007/BFb0073519zbMath0812.54043MaRDI QIDQ1320429

Sergei Yu. Pilyugin

Publication date: 24 April 1994

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

zbMATH Keywords

attractorsdynamical systems\(C^ 0\)-perturbationstopologically stable systems

Mathematics Subject Classification ID

Related Items (27)

Orbital shadowing property for generic divergence-free vector fields ⋮ Stability of orbit spaces of endomorphisms ⋮ Semi-hyperbolic mappings, condensing operators, and neutral delay equations ⋮ Pseudotrajectories generated by a discretization of a parabolic equation ⋮ Robustness of solutions of linear differential equations with infinite delay ⋮ Continuous dependence of attractors on the shape of domain ⋮ Shadowing in structurally stable flows ⋮ Theory of pseudo-orbit shadowing in dynamical systems ⋮ Local topological stability for diffeomorphisms ⋮ Weak forms of shadowing in topological dynamics ⋮ Limit shadowing property ⋮ Controllability properties of nonlinear behaviors ⋮ Feasibility of numerical modelling: Information aspect ⋮ Bi-shadowing and delay equations ⋮ CONTROLLABILITY AND INVARIANCE PROPERTIES OF TIME-PERIODIC SYSTEMS ⋮ Topological stability and shadowing of zero-dimensional dynamical systems ⋮ Structural stability and symbolic image ⋮ Topological stability and pseudo-orbit tracing property for expansive measures ⋮ Shadowing is generic on various one-dimensional continua with a special geometric structure ⋮ A Lipschitz version of the \(\lambda\)-lemma and a characterization of homoclinic and heteroclinic orbits ⋮ Lipschitz shadowing in piecewise-linear mappings ⋮ Lipschitz shadowing in piecewise-linear mappings ⋮ On the dynamics of induced maps on the space of probability measures ⋮ Generic homeomorphisms do not have the Lipschitz shadowing property ⋮ Stability of asymptotically stable sets for continuous functions ⋮ Chain recurrent sets of generic mappings on compact spaces ⋮ Differentiable maps having the uniformly shadowing property

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