Connecting Orbits for a Singular Nonautonomous Real Ginzburg-Landau Type Equation

被引：4
|
作者：
Wilczak, Daniel [1 ]
Zgliczynski, Piotr [1 ]
机构：
[1] Jagiellonian Univ, Fac Math & Comp Sci, Lojasiewicza 6, PL-30348 Krakow, Poland
来源：
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS | 2016年 / 15卷 / 01期
关键词：
computer-assisted proof; nonautonomous ODE; heteroclinic connection; Swift-Hohenberg equation; unstable manifold; rigorous numerics;
D O I：
10.1137/15M1015558
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We propose a method for computation of stable and unstable sets associated to hyperbolic equilibria of nonautonomous ODEs and for computation of a specific type of connecting orbits in nonautonomous singular ODEs. We apply the method to a certain singular nonautonomous real Ginzburg-Landau type equation, which arises from the problem of formation of spots in the Swift-Hohenberg equation.
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页码：495 / 525
页数：31
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