Quasi-periodic breathers in Hamiltonian networks of long-range coupling

PHYSICA D-NONLINEAR PHENOMENA

卷:237

Article

Geng, Jiansheng^2,3  Viveros, Jorge¹  Yi, Yingfei^1,4 

[1] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA

[2] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China

[3] Nanjing Univ, Inst Math Sci, Nanjing 210093, Peoples R China

[4] Jilin Univ, Coll Math, Changchun 130012, Peoples R China

关键词: Coupled oscillators;    Hamiltonian networks;    Long-range coupling;    KAM theory;    Quasi-periodic breathers;   

DOI  :  10.1016/j.physd.2008.05.010

来源: Elsevier

【 摘 要 】

This work is concerned with Hamiltonian networks of weakly and long-range coupled oscillators with either variable or constant on-site frequencies. We derive an infinite dimensional KAM-like theorem by which we establish that, given any N-sites of the lattice, there is a positive measure set of small amplitude, quasi-periodic breathers (solutions of the Hamiltonian network that are quasi-periodic in time and exponentially localized in space) having N-frequencies which are only slightly deformed from the on-site frequencies. (C) 2008 Elsevier B.V. All rights reserved.

【 授权许可】

Free