Singularities of periodic orbits near invariant curves

DOI10.1016/S0167-2789(02)00543-2zbMath1019.37011OpenAlexW1985939809MaRDI QIDQ1607425

Alessandra Celletti, Corrado Falcolini

Publication date: 31 July 2002

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(02)00543-2

zbMATH Keywords

numerical methodPadé approximantsHamilton's equationsrenormalization procedurestandard-like mapsGreen's methodconvergence radius extrapolationrational approximation of irrational numbersrational period rotation

Mathematics Subject Classification ID

Periodic orbits of vector fields and flows (37C27) Universality and renormalization of dynamical systems (37E20) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12) Numerical problems in dynamical systems (65P99)

Related Items

Computation of domains of analyticity for the dissipative standard map in the limit of small dissipation, Breakdown of invariant attractors for the dissipative standard map, Cantori of the dissipative sawtooth map

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