Superstable periodic orbits of 1D maps under quasi-periodic forcing and reducibility loss

DOI10.3934/DCDS.2014.34.589zbMath1308.37012arXiv1112.4684OpenAlexW2313049683MaRDI QIDQ379735

Pau Rabassa, Joan Carles Tatjer, Àngel Jorba

Publication date: 11 November 2013

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.4684

zbMATH Keywords

invariant curvesbifurcation cascadesquasi-periodic perturbationquasi-periodically forced logistic map

Mathematics Subject Classification ID

Low-dimensional dynamical systems (37E99) Dynamical aspects of attractors and their bifurcations (37G35) Periodic and quasi-periodic flows and diffeomorphisms (37C55)

Related Items (3)

Weakly hyperbolic invariant tori for two dimensional quasiperiodically forced maps in a degenerate case ⋮ Coexistence of hyperbolic and elliptic invariant tori for completely degenerate quasi-periodically forced maps ⋮ Parabolic invariant tori in quasi-periodically forced skew-product maps

Cites Work

• Unnamed Item
• Period doubling and reducibility in the quasi-periodically forced logistic map
• A mechanism for the fractalization of invariant curves in quasi-periodically forced 1-D maps
• Strange attractors that are not chaotic
• Doubling of Torus
• Oscillation and Doubling of Torus
• A NUMERICAL STUDY OF UNIVERSALITY AND SELF-SIMILARITY IN SOME FAMILIES OF FORCED LOGISTIC MAPS
• STRANGE NONCHAOTIC ATTRACTORS

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