@Article{AAM-33-1, author = {Yongli, Liu and Yancong, Xu}, title = {Localized Patterns of the Swift-Hohenberg Equation with a Dissipative Term}, journal = {Annals of Applied Mathematics}, year = {2017}, 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/2017-AAM-20591}, url = {https://global-sci.com/article/72735/localized-patterns-of-the-swift-hohenberg-equation-with-a-dissipative-term} }