Regularity of invariant graphs for forced systems

DOI10.1017/S0143385799126555zbMath1004.37018OpenAlexW2141147370MaRDI QIDQ4238459

Jaroslav Stark

Publication date: 1999

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385799126555

zbMATH Keywords

nonlinear dynamicsLyapunov exponentsWhitney extension theorem

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Invariant manifold theory for dynamical systems (37D10) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Related Items (30)

Random and deterministic perturbation of a class of skew-product systems ⋮ NONAUTONOMOUS SADDLE-NODE BIFURCATIONS IN THE QUASIPERIODICALLY FORCED LOGISTIC MAP ⋮ Jaroslav Stark: 1960–2010 ⋮ Discontinuous generalized synchronization of chaos ⋮ Attracting graphs of skew products with non-contracting fiber maps ⋮ A note on the fractalization of saddle invariant curves in quasiperiodic systems ⋮ Physical measures for certain class of non-uniformly hyperbolic endomorphisms on the solid torus ⋮ Invariant graphs of a family of non-uniformly expanding skew products over Markov maps ⋮ The occurrence of locally riddled basins and on-off intermittency in a parametric nonlinear system ⋮ Non hyperbolic solenoidal thick bony attractors ⋮ Generalised synchronisations, embeddings, and approximations for continuous time reservoir computers ⋮ Learning Theory for Dynamical Systems ⋮ Nonautonomous saddle-node bifurcations: random and deterministic forcing ⋮ Random products of maps synchronizing on average ⋮ Unnamed Item ⋮ Hyperbolic graphs: Critical regularity and box dimension ⋮ Towards generalized synchronization of strictly different chaotic systems ⋮ The structure of synchronization sets for noninvertible systems ⋮ Filters display inverse limit spaces ⋮ Synchronization in minimal iterated function systems on compact manifolds ⋮ A numerical estimate of the regularity of a family of strange non-chaotic attractors ⋮ The variation of invariant graphs in forced systems ⋮ Random minimality and continuity of invariant graphs in random dynamical systems ⋮ SNA's in the quasi-periodic quadratic family ⋮ Invariant multi-graphs in step skew-products ⋮ The box dimension of invariant graphs over hyperbolic systems ⋮ An open set of skew products with invariant multi-graphs and bony multi-graphs ⋮ The existence of generalized synchronization of chaotic systems in complex networks ⋮ Random iterations of maps on Rk  : asymptotic stability, synchronisation and functional central limit theorem ⋮ Existence and regularity of invariant graphs for cocycles in bundles: partial hyperbolicity case

This page was built for publication: Regularity of invariant graphs for forced systems