Semidiscretisation Methods for Quasi-periodic Solutions
Autor: | F. Schilder, W. Vogt |
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Rok vydání: | 2003 |
Předmět: | |
Zdroj: | PAMM. 2:497-498 |
ISSN: | 1617-7061 |
DOI: | 10.1002/pamm.200310231 |
Popis: | The aim of our approach is a reliable numerical approximation of quasi-periodic solutions of periodically forced ODEs without using a-priori transformations into new coordinates [1]. The invariant torus is computed as a solution of a special invariance equation. In the case of two basic frequencies this system can be solved by semidiscretisation, which transforms the system into a higher dimensional autonomous ODE system with periodic solutions. |
Databáze: | OpenAIRE |
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