Localized Patterns of the Swift-Hohenberg Equation with a Dissipative Term
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@Article{AAM-33-6,
author = {Liu , Yongli and Xu , Yancong},
title = {Localized Patterns of the Swift-Hohenberg Equation with a Dissipative Term},
journal = {Annals of Applied Mathematics},
year = {2022},
volume = {33},
number = {1},
pages = {6--17},
abstract = {
In this paper, the normal form analysis of quadratic-cubic Swift-Hohenberg equation with a dissipative term is investigated by using the multiple-scale method. In addition, we obtain Hamiltonian-Hopf bifurcations of two equilibria and homoclinic snaking bifurcations of one-peak and two-peak homoclinic solutions by numerical simulations.
}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/20591.html} }
TY - JOUR
T1 - Localized Patterns of the Swift-Hohenberg Equation with a Dissipative Term
AU - Liu , Yongli
AU - Xu , Yancong
JO - Annals of Applied Mathematics
VL - 1
SP - 6
EP - 17
PY - 2022
DA - 2022/06
SN - 33
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/aam/20591.html
KW - bifurcation, normal form, Swift-Hohenberg equation, Hamiltonian-Hopf, snakes.
AB -
In this paper, the normal form analysis of quadratic-cubic Swift-Hohenberg equation with a dissipative term is investigated by using the multiple-scale method. In addition, we obtain Hamiltonian-Hopf bifurcations of two equilibria and homoclinic snaking bifurcations of one-peak and two-peak homoclinic solutions by numerical simulations.
Yongli Liu & Yancong Xu. (2022). Localized Patterns of the Swift-Hohenberg Equation with a Dissipative Term.
Annals of Applied Mathematics. 33 (1).
6-17.
doi:
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