Heteroclinic Connections in the Kuramoto-Sivashinsky Equation: a Computer Assisted Proof

Heteroclinic Connections in the Kuramoto-Sivashinsky Equation: a Computer Assisted Proof On the example of a finite dimensional approximation of the Kuramoto-Sivashinsky equation we show how topological methods may be successfully used in computer assisted proofs of the existence of heteroclinic connections in ordinary differential equations. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Reliable Computing Springer Journals

Heteroclinic Connections in the Kuramoto-Sivashinsky Equation: a Computer Assisted Proof

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Publisher
Kluwer Academic Publishers
Copyright
Copyright © 1997 by Kluwer Academic Publishers
Subject
Mathematics; Numeric Computing; Approximations and Expansions; Computational Mathematics and Numerical Analysis; Mathematical Modeling and Industrial Mathematics
ISSN
1385-3139
eISSN
1573-1340
D.O.I.
10.1023/A:1009974824292
Publisher site
See Article on Publisher Site

Abstract

On the example of a finite dimensional approximation of the Kuramoto-Sivashinsky equation we show how topological methods may be successfully used in computer assisted proofs of the existence of heteroclinic connections in ordinary differential equations.

Journal

Reliable ComputingSpringer Journals

Published: Oct 14, 2004

References

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