Continuation of spatially localized periodic solutions in discrete NLS lattices via normal forms
Articolo
Data di Pubblicazione:
2022
Citazione:
Continuation of spatially localized periodic solutions in discrete NLS lattices via normal forms / V. Danesi, M. Sansottera, S. Paleari, T. Penati. - In: COMMUNICATIONS IN NONLINEAR SCIENCE & NUMERICAL SIMULATION. - ISSN 1007-5704. - 108:(2022 May), pp. 106266.1-106266.23. [10.1016/j.cnsns.2022.106266]
Abstract:
We consider the problem of the continuation with respect to a small parameter ɛ of spatially localized and time periodic solutions in 1-dimensional dNLS lattices, where ɛ 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.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Hamiltonian normal forms; Resonant tori; Perturbation theory; dNLS models; Discrete solitons;
Elenco autori:
V. Danesi, M. Sansottera, S. Paleari, T. Penati
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