Different scenarios for hyperbolicity breakdown in quasiperiodic area preserving twist maps

DOI10.1063/1.4938185zbMath1374.37110OpenAlexW2217352264WikidataQ50744769 ScholiaQ50744769MaRDI QIDQ4591813

Àlex Haro, Jordi-Lluís Figueras

Publication date: 17 November 2017

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4938185

Mathematics Subject Classification ID

Invariant manifold theory for dynamical systems (37D10) Computational methods for bifurcation problems in dynamical systems (37M20)

Related Items (10)

A note on the fractalization of saddle invariant curves in quasiperiodic systems ⋮ Non-twist invariant circles in conformally symplectic systems ⋮ Sharp \(\frac{1}{2}\)-Hölder continuity of the Lyapunov exponent at the bottom of the spectrum for a class of Schrödinger cocycles ⋮ Computer-Assisted Proof of Shil'nikov Homoclinics: With Application to the Lorenz-84 Model ⋮ Accurate computations up to breakdown of quasi-periodic attractors in the dissipative spin-orbit problem ⋮ Some questions looking for answers in dynamical systems ⋮ Transition state theory with quasi-periodic forcing ⋮ Existence of non-smooth bifurcations of uniformly hyperbolic invariant manifolds in skew product systems ⋮ A new method to compute periodic orbits in general symplectic maps ⋮ Flow map parameterization methods for invariant tori in Hamiltonian systems

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