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arXiv · 1504.01253

Connecting orbits for a singular nonautonomous real Ginzburg-Landau type equation

Daniel Wilczak·Piotr Zgliczyński
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Abstract

We propose a method for computation of stable and unstable sets associated to hyperbolic equilibria of nonautonomous ODEs and for computation of specific type of connecting orbits in nonautonomous singular ODEs. We apply the method to a certain a singular nonautonomous real Ginzburg-Landau type equation, which that arises from the problem of formation of spots in the Swift-Hohenberg equation.

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Daniel Wilczak, Piotr Zgliczyński. 2015-04-06. Connecting orbits for a singular nonautonomous real Ginzburg-Landau type equation. https://doi.org/10.1137/15m1015558

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