Regions of nonexistence of invariant tori for spin-orbit models

DOI10.1063/1.2811880zbMath1163.37319OpenAlexW2031278019WikidataQ51897519 ScholiaQ51897519MaRDI QIDQ3636687

Alessandra Celletti, Robert S. MacKay

Publication date: 1 July 2009

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

Full work available at URL: https://semanticscholar.org/paper/7df1c58d7105ae3da317722aa264117bdcd6678b

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (7)

A continuous family of equilibria in ferromagnetic media are ground states ⋮ Accurate computations up to breakdown of quasi-periodic attractors in the dissipative spin-orbit problem ⋮ Periodic and quasi-periodic attractors of weakly-dissipative nearly-integrable systems ⋮ Finding the complement of the invariant manifolds transverse to a given foliation for a 3D flow ⋮ Analytic invariant curves for an iterative equation related to dissipative standard map ⋮ Nonexistence of invariant tori transverse to foliations: An application of converse KAM theory ⋮ Breakdown of invariant attractors for the dissipative standard map

Cites Work

• A criterion for non-existence of invariant tori for Hamiltonian systems
• Analysis of resonances in the spin-orbit problem in celestial mechanics. I: The synchronous resonance
• Converse KAM: theory and practice
• An exhaustive criterion for the non-existence of invariant circles for area-preserving twist maps
• Fast Lyapunov indicators. Application to asteroidal motion
• Converse KAM theory for symplectic twist maps
• On the numerical detection of the effective stability of chaotic motions in quasi-integrable systems

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