A mechanism for the fractalization of invariant curves in quasi-periodically forced 1-D maps
From MaRDI portal
Publication:950602
DOI10.3934/dcdsb.2008.10.2izbMath1165.37008OpenAlexW4239721929MaRDI QIDQ950602
Joan Carles Tatjer, Àngel Jorba
Publication date: 30 October 2008
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2008.10.2i
Fractals (28A80) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Nonautonomous smooth dynamical systems (37C60)
Related Items
A note on the fractalization of saddle invariant curves in quasiperiodic systems ⋮ Local study of a renormalization operator for 1D maps under quasiperiodic forcing ⋮ Weakly hyperbolic invariant tori for two dimensional quasiperiodically forced maps in a degenerate case ⋮ Superstable periodic orbits of 1D maps under quasi-periodic forcing and reducibility loss ⋮ Computation of quasi-periodic normally hyperbolic invariant tori: algorithms, numerical explorations and mechanisms of breakdown ⋮ Some questions looking for answers in dynamical systems ⋮ Quasi-periodic bifurcations of invariant circles in low-dimensional dissipative dynamical systems ⋮ Fractal dimension estimation with persistent homology: a comparative study ⋮ Coexistence of hyperbolic and elliptic invariant tori for completely degenerate quasi-periodically forced maps ⋮ Parabolic invariant tori in quasi-periodically forced skew-product maps ⋮ Hyperbolization of cocycles by isometries of the Euclidean space ⋮ A numerical estimate of the regularity of a family of strange non-chaotic attractors ⋮ On non-smooth pitchfork bifurcations in invertible quasi-periodically forced 1-D maps
This page was built for publication: A mechanism for the fractalization of invariant curves in quasi-periodically forced 1-D maps
