Semidiscretisation Methods for Quasi-periodic Solutions

Autor: F. Schilder, W. Vogt
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