Year: 2017
Author: Yongli Liu, Yancong Xu
Annals of Applied Mathematics, Vol. 33 (2017), Iss. 1 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2017-AAM-20591
Annals of Applied Mathematics, Vol. 33 (2017), Iss. 1 : pp. 6–17
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: bifurcation normal form Swift-Hohenberg equation Hamiltonian-Hopf snakes.