Area preserving nontwist maps: Periodic orbits and transition to chaos
type: Item
instance of: scholarly article
title: Area preserving nontwist maps: Periodic orbits and transition to chaos
zbMATH Open document ID: 0890.58068
DOI: 10.1016/0167-2789(95)00257-X
author: Yanyan Li
published in: Physica D
publication date: 1996-03-13T00:00:00Z
Mathematics Subject Classification ID: 37G99
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 54C35
zbMATH DE Number: 855969
zbMATH Keywords: area preserving nontwist maps
zbMATH Keywords: periodic orbits
zbMATH Keywords: bifurcation
zbMATH Keywords: chaos
MaRDI profile type: Publication
cites work: Stable and Random Motions in Dynamical Systems
cites work: Q3764119
cites work: Symplectic maps, variational principles, and transport
cites work: Chaotic transport by Rossby waves in shear flow
cites work: Q4023618
cites work: Renormalization and transition to chaos in area preserving nontwist maps
cites work: Nonmonotonic twist maps
cites work: The birth of twin Poincaré-Birkhoff chains near 1:3 resonance
cites work: The birth process of periodic orbits in non-twist maps
cites work: Scaling for a Critical Kolmogorov-Arnold-Moser Trajectory
cites work: Critical Behavior of a KAM surface. I: Empirical results
cites work: A renormalization approach to invariant circles in area-preserving maps
cites work: Q4692511
cites work: Q4343391
cites work: Q5554567
cites work: Weak Chaos and Quasi-Regular Patterns
cites work: Two‐dimensional model of a kicked oscillator: Motion with intermittency
cites work: Four-dimensional mapping model for two-frequency electron cyclotron resonance heating
cites work: Contributions to the Theory of Nonlinear Oscillations (AM-41), Volume IV
cites work: Q5557227
cites work: Q4026085
cites work: Universal behaviour in families of area-preserving maps
cites work: Q5646951
cites work: A rigorous partial justification of Greene's criterion
cites work: Greene's residue criterion
cites work: Fractal boundary for the existence of invariant circles for area- preserving maps: Observations and renormalisation explanation
cites work: Higher-order fixed points of the renormalisation operator for invariant circles
cites work: New fixed point of the renormalisation operator associated with the recurrence of invariant circles in generic Hamiltonian maps
cites work: Erratic behavior of invariant circles in standard-like mappings
full work available at URL: 0167-2789(95)00257-x
OpenAlex ID: W2127046795
description: scientific article; zbMATH DE number 855969