Stephan Schreiber
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Stephan Schreiber has a total of 3 co-authors. Here are the top co-authors by number of shared publications:
- Frank Schilder
Bristol Center for Applied Nonlinear Mathematics, Department of Engineering Mathematics, University of Bristol, Bristol, UK
1 shared publication - Hinke M. Osinga
University of Auckland
1 shared publication - Werner Vogt
Technische Universität Ilmenau
1 shared publication
Latest Publications
- 31 January 2006
- Published by Wiley in International Journal for Numerical Methods in Engineering
- Vol. 67 (5) , 629-671
Fourier methods for quasi‐periodic oscillations
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. Copyright © 2006 John Wiley & Sons, Ltd.
- 31 January 2006
- Published by Wiley in International Journal for Numerical Methods in Engineering
- Vol. 67 (5) , 629-671
Fourier methods for quasi‐periodic oscillations
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. Copyright © 2006 John Wiley & Sons, Ltd.