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

doi:10.5506/APHYSPOLB.51.2159

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 journal › Article › peer-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 language	English
Pages (from-to)	2159-2187
Number of pages	29
Journal	Acta Physica Polonica B
Volume	51
Issue number	12
DOIs	https://doi.org/10.5506/APHYSPOLB.51.2159
State	Published - 2021

Bibliographical note

Publisher Copyright:
© 2020 Jagellonian University. All rights reserved.

Access to Document

10.5506/APHYSPOLB.51.2159

Cite this

@article{f74a367d3a4942d89162e2a1b97bf7d1,

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

abstract = "We report on the triggering of localized and confined chaos described by a general cubic order damped nonlinear Schr{\"o}dinger 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.",

author = "Sorge Oporto-Almaraz and Meyer-Forgues, {Gerardo F.} and Castro, {Camilo J.} and {Urzagasti Guerrero}, {Deterlino Alberto Urzagasti Guerrero}",

year = "2021",

doi = "10.5506/APHYSPOLB.51.2159",

language = "Ingl{\'e}s",

volume = "51",

pages = "2159--2187",

journal = "Acta Physica Polonica B",

issn = "0587-4254",

publisher = "Jagellonian University",

number = "12",

}

TY - JOUR

T1 - Triggering and confinement effect of 1d to 3d chaotic solitons by the interplay of periodic spatio-temporal fields

AU - Oporto-Almaraz, Sorge

AU - Meyer-Forgues, Gerardo F.

AU - Castro, Camilo J.

AU - Urzagasti Guerrero, Deterlino Alberto Urzagasti Guerrero

PY - 2021

Y1 - 2021

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85099349266&partnerID=8YFLogxK

U2 - 10.5506/APHYSPOLB.51.2159

DO - 10.5506/APHYSPOLB.51.2159

M3 - Artículo

AN - SCOPUS:85099349266

VL - 51

SP - 2159

EP - 2187

JO - Acta Physica Polonica B

JF - Acta Physica Polonica B

SN - 0587-4254

IS - 12

ER -

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

Abstract

Bibliographical note

Access to Document

Fingerprint

Cite this