Fourier methods for quasi-periodic oscillations
Publikation: Beiträge in Zeitschriften › Zeitschriftenaufsätze › Forschung › begutachtet
Authors
Quasi-periodic oscillations and invariant tori play an important role in the study of forced or coupled oscillators. This paper presents two new numerical methods for the investigation of quasi-periodic oscillations. Both algorithms can be regarded as generalizations of the averaging and the harmonic (spectral) balance methods. The algorithms are easy to implement and require only minimal a priori knowledge of the system. Most importantly, the methods do not depend on an a priori co-ordinate transformation. The methods are applied to a number of illustrative examples from non-linear electrical engineering and the results show that the methods are efficient and reliable. In addition, these examples show that the presented algorithms can also continue through regions of sub-harmonic (phase-locked) resonance even though they are designed only for the quasi-periodic case.
| Originalsprache | Englisch |
|---|---|
| Zeitschrift | International Journal for Numerical Methods in Engineering |
| Jahrgang | 67 |
| Ausgabenummer | 5 |
| Seiten (von - bis) | 629–671 |
| Anzahl der Seiten | 43 |
| DOIs | |
| Publikationsstatus | Erschienen - 30.07.2006 |
| Extern publiziert | Ja |
- Mathematik