Localization in a coupled standard map lattice
type: Item
instance of: scholarly article
title: Localization in a coupled standard map lattice
zbMATH Open document ID: 0942.37019
DOI: 10.1016/S0167-2789(98)00060-8
author: Yanyan Li
published in: Physica D
publication date: 1999-12-06T00:00:00Z
review text: The authors deal with the dynamics of quasi-periodic and chaotic ``almost breathers''. They consider excitations in a lattice of coupled standard maps. Localized periodic solutions can be found in analogy to breathers in a continuous-time oscillator lattice. The standard map considered by the authors is a typical nonlinear system, where the regions of chaotic and quasiperiodic dynamics coexist. A quasiperiodic critical state has extremely large life time for small couplings, and for large coupling evolves slowly into global chaos.
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 37K60
zbMATH DE Number: 1374393
zbMATH Keywords: chaotic behaviour
zbMATH Keywords: periodic solutions
zbMATH Keywords: almost breathers
zbMATH Keywords: coupled standard maps
zbMATH Keywords: oscillator lattice
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
cites work: Q3961178
cites work: Breathers in nonlinear lattices: existence, linear stability and quantization
cites work: Localized breather-like solution in a discrete Klein-Gordon model and application to DNA
cites work: Tangent bifurcation of band edge plane waves, dynamical symmetry breaking and vibrational localization
cites work: Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
cites work: Chaotic trajectories in the standard map. The concept of anti- integrability
cites work: Exponential stability of breathers in Hamiltonian networks of weakly coupled oscillators
cites work: Stability of discrete breathers
cites work: Dynamics of breathers in discrete nonlinear Schrödinger models
cites work: Regular and chaotic dynamics.
cites work: Arnold and Arnold-like diffusion in many dimensions
cites work: Nonlinear localized periodic solutions in a coupled map lattice
cites work: A renormalization approach to invariant circles in area-preserving maps
full work available at URL: s0167-2789(98)00060-8
OpenAlex ID: W2059935372
description: scientific article; zbMATH DE number 1374393