On the complex analytic structure of the golden invariant curve for the standard map
From MaRDI portal
Publication:3357931
DOI10.1088/0951-7715/3/1/003zbMath0732.58014OpenAlexW2004924856MaRDI QIDQ3357931
Luigi Chierchia, Alberto Berretti
Publication date: 1990
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0951-7715/3/1/003
Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Padé approximation (41A21) Low-dimensional dynamical systems (37E99)
Related Items
On the singularity structure of invariant curves of symplectic mappings, Computation of domains of analyticity for some perturbative expansions of mechanics, Complexified stable and unstable manifolds and chaotic tunneling, Scaling, perturbative renormalization and analyticity for the standard map and some generalizations, Analysis of resonances in the spin-orbit problem in celestial mechanics. II: Higher order resonances and some numerical experiments, On the relationship between the Bruno function and the breakdown of invariant tori, Construction of invariant tori for the spin-orbit problem in the Mercury-Sun system, Biparametric investigation of the general standard map: multistability and global bifurcations, A rigorous partial justification of Greene's criterion, Numerical calculation of domains of analyticity for perturbation theories in the presence of small divisors, Natural boundaries for area-preserving twist maps, Numerical Study of Invariant Sets of a Quasiperiodic Perturbation of a Symplectic Map, Unnamed Item, Invariant curves for area-preserving twist maps far from integrable, Nature of Singularities for Analyticity Domains of Invariant Curves, Singularities of periodic orbits near invariant curves
