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 equilib- ria and homoclinic snaking bifurcations of one-peak and two-peak homoclinic solutions by numerical simulations.
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 equilib- ria and homoclinic snaking bifurcations of one-peak and two-peak homoclinic solutions by numerical simulations.
基金
supported by the National NSF of China(Nos.11671114 and 11571088)
Program for Excellent Young Teachers in HNU(HNUEYT2013)
