LOCALIZED PATTERNS OF THE SWIFT-HOHENBERG EQUATION WITH A DISSIPATIVE TERM

• 作者: Yancong Xu Yongli Liu
• 来源期刊: 应用数学年刊：英文版
• 学科: 数学
• 年，卷（期）: 2017,（1）
• 页码范围: 6-17
• 页数: 12页
• 分类号: O1

摘要

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.