Linearly stable quasi-periodic breathers in a class of random Hamiltonian systems
type: Item
instance of: scholarly article
title: Linearly stable quasi-periodic breathers in a class of random Hamiltonian systems
zbMATH Open document ID: 1277.37100
author: Zhiyan Zhao
author: Jiansheng Geng
published in: Journal of Dynamics and Differential Equations
publication date: 2012-01-10T00:00:00Z
review text: The authors prove an abstract KAM-type theorem for Hamiltonian lattice systems with i.i.d.\ random frequencies, which also gives linear stability of the quasi-periodic solutions. They apply this to a kind of cubic nonlinear-Schrödinger lattice model in the weakly nonlinear regime with weak and exponentially localized coupling. The introduction contains some discussion of breathers in nonlinear Schrödinger partial differential equation models and the approach of Craig, Wayne and Bourgain.
Mathematics Subject Classification ID: 37K55
Mathematics Subject Classification ID: 37H99
Mathematics Subject Classification ID: 37K45
Mathematics Subject Classification ID: 37K60
zbMATH DE Number: 5996182
zbMATH Keywords: KAM theory
zbMATH Keywords: stability
zbMATH Keywords: breather
zbMATH Keywords: quasi-periodic
reviewed by: Jens D. M. Rademacher
MaRDI profile type: Publication
full work available at URL: s10884-011-9234-1
OpenAlex ID: W2064827321
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DOI: 10.1007/S10884-011-9234-1
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description: scientific article; zbMATH DE number 5996182