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, Deterlino
N1 - Publisher Copyright:
© 2020 Jagellonian University. All rights reserved.
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
SN - 0587-4254
VL - 51
SP - 2159
EP - 2187
JO - Acta Physica Polonica B
JF - Acta Physica Polonica B
IS - 12
ER -