Continuation of spatially localized periodic solutions in discrete NLS lattices via normal forms

被引：2

作者：

Danesi, Veronica ^{[2
,3
]}

Sansottera, Marco ^{[1
,3
]}

Paleari, Simone ^{[1
,3
]}

Penati, Tiziano ^{[1
,3
]}

机构：

[1] Univ Milan, Dept Math FEnr, Via Saldini 50, I-20133 Milan, Italy

[2] Univ Roma Tor Vergata, Dept Math, Via Ric Scientif 1, I-00133 Rome, Italy

[3] Indam Ist Nazl Alta Matemat F Severi, GNFM Grp Nazl Fis Matemat, Rome, Italy

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2022年 / 108卷

关键词：

Hamiltonian normal forms; Resonant tori; Perturbation theory; dNLS models; Discrete solitons; STABILITY; BREATHERS; MULTIBREATHERS; ORBITS; WAVES; TORI;

D O I：

10.1016/j.cnsns.2022.106266

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the problem of the continuation with respect to a small parameter epsilon of spatially localized and time periodic solutions in 1-dimensional dNLS lattices, where epsilon represents the strength of the interaction among the sites on the lattice. Specifically, we consider different dNLS models and apply a recently developed normal form algorithm in order to investigate the continuation and the linear stability of degenerate localized periodic orbits on lower and full dimensional invariant resonant tori. We recover results already existing in the literature and provide new insightful ones, both for discrete solitons and for invariant subtori. (c) 2022 Elsevier B.V. All rights reserved.

引用

页数：23

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