DYNAMIC BIFURCATION OF THE PERIODIC SWIFT-HOHENBERG EQUATION

- Journal title : Bulletin of the Korean Mathematical Society
- Volume 49, Issue 5, 2012, pp.923-937
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/BKMS.2012.49.5.923

Title & Authors

DYNAMIC BIFURCATION OF THE PERIODIC SWIFT-HOHENBERG EQUATION

Han, Jong-Min; Yari, Masoud;

Han, Jong-Min; Yari, Masoud;

Abstract

In this paper we study the dynamic bifurcation of the Swift-Hohenberg equation on a periodic cell . It is shown that the equations bifurcates from the trivial solution to an attractor when th control parameter crosses the critical value. In the odd periodic case is homeomorphic to and consists of eight singular points and thei connecting orbits. In the periodic case, is homeomorphic to , an contains a torus and two circles which consist of singular points.

Keywords

Swift-Hohenberg equation;attractor bifurcation;

Language

English

Cited by

1.

DYNAMICAL BIFURCATION OF THE ONE-DIMENSIONAL CONVECTIVE CAHN-HILLIARD EQUATION,;

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