KAM quasi-periodic solutions for the dissipative standard map
type: Item
instance of: scholarly article
title: KAM quasi-periodic solutions for the dissipative standard map
zbMATH Open document ID: 1494.37043
author: Alessandra Celletti
author: Rafael de la Llave
author: Renato C. Calleja
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2021-12-13T00:00:00Z
Mathematics Subject Classification ID: 37J40
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34D35
Mathematics Subject Classification ID: 37M15
Mathematics Subject Classification ID: 70K43
zbMATH DE Number: 7443110
zbMATH Keywords: KAM estimates
zbMATH Keywords: dissipative systems
zbMATH Keywords: conformally symplectic systems
zbMATH Keywords: standard map
zbMATH Keywords: quasi-periodic solutions
zbMATH Keywords: attractors
describes a project that uses: MPFR
MaRDI profile type: Publication
full work available at URL: j.cnsns.2021.106111
OpenAlex ID: W3212824156
cites work: Analysis of resonances in the spin-orbit problem in celestial mechanics. I: The synchronous resonance
cites work: Analysis of resonances in the spin-orbit problem in celestial mechanics. II: Higher order resonances and some numerical experiments
cites work: Q4763554
cites work: On the stability of realistic three-body problems
cites work: KAM stability and celestial mechanics
cites work: Quasi-periodic attractors in celestial mechanics
cites work: Rigorous computer-assisted application of KAM theory: a modern approach
cites work: Q4011809
cites work: Kolmogorov's normal form for equations of motion with dissipative effects
cites work: Quasi-periodic motions in a special class of dynamical equations with dissipative effects: a pair of detection methods
cites work: Q3883602
cites work: PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN
cites work: Q3294369
cites work: SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS
cites work: Q5520417
cites work: Q3738289
cites work: Q3139583
cites work: A tutorial on KAM theory.
cites work: Q4556143
cites work: Q5530545
cites work: Q3314610
cites work: Destruction of Lagrangian torus for positive definite Hamiltonian systems
cites work: On the destruction of minimal foliations
cites work: On the numerical treatment of a small divisor problem
cites work: Q4769296
cites work: Interval forms of Newtons method
cites work: Convergent series expansions for quasi-periodic motions
cites work: Tracing KAM tori in presymplectic dynamical systems
cites work: A KAM theory for conformally symplectic systems: efficient algorithms and their validation
cites work: Computation of quasiperiodic normally hyperbolic invariant tori: rigorous results
cites work: Computation of quasi-periodic normally hyperbolic invariant tori: algorithms, numerical explorations and mechanisms of breakdown
cites work: Q4771890
cites work: Invariant manifolds
cites work: Q3207999
cites work: Q3694040
cites work: Q3340032
cites work: A computer-assisted proof of the Feigenbaum conjectures
cites work: Breakdown of invariant attractors for the dissipative standard map
cites work: KAM quasi-periodic tori for the dissipative spin-orbit problem
cites work: Some properties of locally conformal symplectic structures
cites work: Existence, nonexistence and universal breakdown of dissipative golden invariant tori. I. Golden critical circle maps
cites work: Existence, nonexistence and universal breakdown of dissipative golden invariant tori. II. Convergence of renormalization for mappings of the annulus
cites work: Existence, nonexistence and universal breakdown of dissipative golden invariant tori. III. Invariant circles for mappings of the annulus
cites work: Collision of invariant bundles of quasi-periodic attractors in the dissipative standard map
cites work: Computation of domains of analyticity for the dissipative standard map in the limit of small dissipation
cites work: Domains of analyticity and Lindstedt expansions of KAM tori in some dissipative perturbations of Hamiltonian systems
cites work: An Algorithm for the Machine Calculation of Complex Fourier Series
cites work: An extension of Greene's criterion for conformally symplectic systems and a partial justification
cites work: Q4284069
cites work: Q4081689
cites work: On optimal estimates for the solutions of linear difference equations on the circle
Wikidata QID: Q128145747
DOI: 10.1016/J.CNSNS.2021.106111
description: scientific article; zbMATH DE number 7443110