Triggering and confinement effect of 1d to 3d chaotic solitons by the interplay of periodic spatio-temporal fields

Sorge Oporto-Almaraz, Gerardo F. Meyer-Forgues, Camilo J. Castro, Deterlino Alberto Urzagasti Guerrero Urzagasti Guerrero

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We report on the triggering of localized and confined chaos described by a general cubic order damped nonlinear Schrödinger amplitude equation containing a conjugate amplitude term, representing the time-periodic parametric driving, and a spatially periodic term representing the external potential that cuts and confines the chaotic patterns promoted by the former, leading to trapped chaotic space-localized structures. Numerical simulations in 1 + 1, 1 + 2, and 1 + 3 dimensions, Lagrangian and Hamiltonian theories for continuous fields, moments method, largest Lyapunov exponents, spectral distributions, and bifurcations diagrams are used to characterize and analyze these chaotic solitons.

Original languageEnglish
Pages (from-to)2159-2187
Number of pages29
JournalActa Physica Polonica B
Volume51
Issue number12
DOIs
StatePublished - 2021

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