Localization of chaos in the discrete nonlinear Schrödinger equation

Autor:	L. J. Bernstein, K. J. Blow, K. W. DeLong, N. Finlayson
Rok vydání:	1993
Předmět:	Physics Nonlinear system symbols.namesake Partial differential equation Classical mechanics Differential equation Antisymmetric relation Phase space symbols Nonlinear Schrödinger equation Linear subspace Atomic and Molecular Physics and Optics Schrödinger equation
Zdroj:	Physical review. A, Atomic, molecular, and optical physics. 48(5)
ISSN:	1050-2947
Popis:	We partition the perturbation phase space in the three-element discrete nonlinear Schr\"odinger equation into symmetric and antisymmetric subspaces. We then show that chaotic motion in the neighborhood of symmetric trajectories is confined to the antisymmetric space. Chaos occurs in the system at arbitrarily low levels of nonlinearity, in agreement with previous calculations. We call this phenomenon ``microchaos.''
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::229de8246a5bfc342517a8c940980cd9 https://pubmed.ncbi.nlm.nih.gov/9910059 Zobrazit plný text záznamu