Homoclinic orbits and chaos in discretized perturbed NLS systems. II: Symbolic dynamics
type: Item
instance of: scholarly article
title: Homoclinic orbits and chaos in discretized perturbed NLS systems. II: Symbolic dynamics
zbMATH Open document ID: 0891.58011
DOI: 10.1007/BF02678141
published in: Journal of Nonlinear Science
publication date: 1998-07-20T00:00:00Z
Mathematics Subject Classification ID: 37B10
Mathematics Subject Classification ID: 37C29
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 70K50
zbMATH DE Number: 1071479
zbMATH Keywords: Smale horseshoe
zbMATH Keywords: discretized nonlinear Schrödinger equations
zbMATH Keywords: homoclinic orbits
zbMATH Keywords: deterministic chaos
author: Y. Charles Li
author: Stephen Wiggins
MaRDI profile type: Publication
cites work: A Nonlinear Difference Scheme and Inverse Scattering
cites work: Q4146134
cites work: The Sil'nikov problem, exponential expansion, strong \(\lambda\)-lemma, \(C^ 1\)-linearization, and homoclinic bifurcation
cites work: On Shilnikov's homoclinic-saddle-focus theorem
cites work: Q5330830
cites work: Homoclinic orbits and chaos in discretized perturbed NLS systems. I: Homoclinic orbits
cites work: Morse and Melnikov functions for NLS PDE's
cites work: Q4880398
cites work: Stable and Random Motions in Dynamical Systems
cites work: Q5509205
cites work: Q5536828
cites work: ON A POINCARÉ-BIRKHOFF PROBLEM
cites work: A CONTRIBUTION TO THE PROBLEM OF THE STRUCTURE OF AN EXTENDED NEIGHBORHOOD OF A ROUGH EQUILIBRIUM STATE OF SADDLE-FOCUS TYPE
cites work: Global bifurcations and chaos. Analytical methods
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description: scientific article; zbMATH DE number 1071479