Self-similarity, renormalization, and phase space nonuniformity of Hamiltonian chaotic dynamics
type: Item
instance of: scholarly article
title: Self-similarity, renormalization, and phase space nonuniformity of Hamiltonian chaotic dynamics
zbMATH Open document ID: 0933.37024
DOI: 10.1063/1.166252
published in: Chaos: An Interdisciplinary Journal of Nonlinear Science
publication date: 2000-01-17T00:00:00Z
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 37K05
Mathematics Subject Classification ID: 82C31
Mathematics Subject Classification ID: 37A60
zbMATH DE Number: 1390388
zbMATH Keywords: renormalization group
zbMATH Keywords: web-map
zbMATH Keywords: standard map
zbMATH Keywords: brith and collapse of islands
Wikidata QID: Q52271311
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1063/1.166252
OpenAlex ID: W2029301214
cites work: STOCHASTIC INSTABILITY OF NON-LINEAR OSCILLATIONS
cites work: Channeling and percolation in two-dimensional chaotic dynamics
cites work: Chaotic jets with multifractal space-time random walk
cites work: Symplectic maps, variational principles, and transport
cites work: Average exit time for volume-preserving maps
cites work: Scaling for a Critical Kolmogorov-Arnold-Moser Trajectory
cites work: Universal behaviour in families of area-preserving maps
cites work: A renormalization approach to invariant circles in area-preserving maps
cites work: Correlation properties of dynamical chaos in Hamiltonian systems
cites work: Patterns in chaos
cites work: Renormalization group theory of anomalous transport in systems with Hamiltonian chaos
cites work: Fractional kinetic equation for Hamiltonian chaos
cites work: Random walks with self-similar clusters
cites work: Fractal random walks
cites work: Stochastic webs and their applications
cites work: Dimension type characteristics for invariant sets of dynamical systems
cites work: Pesin’s dimension for Poincaré recurrences
cites work: From Hamiltonian chaos to Maxwell’s Demon
cites work: Coarse-grained properties of the chaotic trajectories in the stadium
Recommended article: Renormalization-group analysis for the transition to chaos in Hamiltonian systems
Recommended article: Q5427067
Recommended article: Hamiltonian Chaos in Nonlinear Parametric Systems
Recommended article: Q3634118
Recommended article: Q5493988
Recommended article: CHAOTIC DYNAMICS OF N-DEGREE OF FREEDOM HAMILTONIAN SYSTEMS
Recommended article: Q4343387
Recommended article: Chaotic behavior in nonlinear Hamiltonian systems and equilibrium statistical mechanics.
Recommended article: Renormalization and periodic orbits for Hamiltonian flows
Recommended article: Chaos in hamiltonian systems
description: scientific article; zbMATH DE number 1390388