LOCALIZED PATTERNS OF THE SWIFT-HOHENBERG EQUATION WITH A DISSIPATIVE TERM |
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| Authors: | Yongli Liu and Yancong Xu |
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| Institution: | Dept. of Math., Hangzhou Normal University, Hangzhou 310036, Zhejiang, PR China and Dept. of Math., Hangzhou Normal University, Hangzhou 310036, Zhejiang, PR China |
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| 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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| Keywords: | bifurcation normal form Swift-Hohenberg equation Hamiltonian-Hopf snakes |
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