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 - <p style="text-align: justify;">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.</p>