@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} }