Plenty of elliptic islands for the standard family of area preserving maps
From MaRDI portal
Publication:1904214
DOI10.1016/S0294-1449(16)30180-9zbMath0838.58030MaRDI QIDQ1904214
Publication date: 1 February 1996
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIHPC_1994__11_4_359_0
Related Items
Almost-sure exponential mixing of passive scalars by the stochastic Navier-Stokes equations, On emergence and complexity of ergodic decompositions, Lagrangian chaos and scalar advection in stochastic fluid mechanics, Conservative homoclinic bifurcations and some applications, On cyclicity-one elliptic islands of the standard map, Persistence of homoclinic tangencies for area-preserving maps, On Herman's positive entropy conjecture, Domains of analyticity and Lindstedt expansions of KAM tori in some dissipative perturbations of Hamiltonian systems, Hyperbolicity and abundance of elliptical islands in annular billiards, Random products of standard maps, Computer-assisted proof of shear-induced chaos in stochastically perturbed Hopf systems, Open sets of partially hyperbolic skew products having a unique SRB measure, Distribution of stable islands within chaotic areas in the non-hyperbolic and hyperbolic regimes in the Hénon-Heiles system, Lower bounds on the Lyapunov exponents of stochastic differential equations, Non-uniformly hyperbolic horseshoes in the standard family, Positive Lyapunov exponent for random perturbations of predominantly expanding multimodal circle maps, Kantorovich–Rubinstein–Wasserstein distance between overlapping attractor and repeller, Comparing chaotic and random dynamical systems, On stochastic sea of the standard map, Topological entropy of standard type monotone twist maps, Path connectedness and entropy density of the space of hyperbolic ergodic measures, Lyapunov exponents for random perturbations of some area-preserving maps including the standard map, Lyapunov exponents and correlation decay for random perturbations of some prototypical 2D maps, Ergodic decay laws in Newtonian and relativistic chaotic scattering, Non-uniformly hyperbolic diffeomorphisms derived from the standard map, On the Lyapounov Exponents of Schrödinger Operators Associated with the Standard Map, Dynamics of some piecewise smooth Fermi-Ulam models, Uniqueness of the measure of maximal entropy for the standard map, Some remarks on the problem of ergodicity of the standard map, Phase-space volume of regions of trapped motion: Multiple ring components and arcs, Statistical properties for compositions of standard maps with increasing coefficient, Diffusion limit for a slow-fast standard map, Big islands in dispersing billiard-like potentials, On the stable ergodicity of Berger–Carrasco’s example, Lyapunov exponents for random perturbations of coupled standard maps, The nonmonotonic twist maps and basic hyperbolic sets, Statistics of a family of piecewise linear maps, Existence of invariant curves for area-preserving mappings under weaker non-degeneracy conditions, Robust cycles unfolding from conservative bifocal homoclinic orbits, Symbolic dynamics for non-uniformly hyperbolic systems, Effect of islands in diffusive properties of the standard map for large parameter values, Construction of invariant whiskered tori by a parameterization method. II: Quasi-periodic and almost periodic breathers in coupled map lattices, Bounds on the Lyapunov exponent via crude estimates on the density of states, Barriers to transport and mixing in volume-preserving maps with nonzero flux
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bifurcations and stability of families of diffeomorphisms
- The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
- Intersection properties of invariant manifolds in certain twist maps
- Diffeomorphisms with infinitely many sinks
- Stable and Random Motions in Dynamical Systems
- Hyperbolic sets for twist maps
- Quasi-Elliptic Periodic Points in Conservative Dynamical Systems
- Persistence of homoclinic tangencies in higher dimensions
- Invariant manifolds
