On the singularity structure of invariant curves of symplectic mappings

DOI10.1063/1.166072zbMath1055.37572OpenAlexW1998094009WikidataQ52347414 ScholiaQ52347414MaRDI QIDQ4526320

Rafael de la Llave, Stathis Tompaidis

Publication date: 16 January 2001

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

Full work available at URL: https://doi.org/10.1063/1.166072

Mathematics Subject Classification ID

Related Items (3)

Domains of analyticity and Lindstedt expansions of KAM tori in some dissipative perturbations of Hamiltonian systems ⋮ Breakdown of rotational tori in 2D and 4D conservative and dissipative standard maps ⋮ Computation of domains of analyticity for the dissipative standard map in the limit of small dissipation

Cites Work

• Construction of analytic KAM-surfaces and effective stability bounds
• Numerical calculation of domains of analyticity for perturbation theories in the presence of small divisors
• Natural boundaries for area-preserving twist maps
• Computation of domains of analyticity for some perturbative expansions of mechanics
• On the complex analytic structure of the golden invariant curve for the standard map
• Nature of Singularities for Analyticity Domains of Invariant Curves
• Scaling near resonances and complex rotation numbers for the standard map

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