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Article Contents

# Dynamic bifurcation of the complex Swift-Hohenberg equation

• In this paper we are concerned with the dynamic bifurcation of the complex Swift-Hohenberg equation on a closed interval in $\mathbb R$. We consider the equations under the Dirichlet and the periodic boundary conditions. It is shown that the equation bifurcates from the trivial solution to an attractor when the control parameter crosses the critical value.
Mathematics Subject Classification: Primary: 37G35; Secondary: 35G25.

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