Article in Journal ART-2003-11

BibliographyPelster, Axel; Kleinert, Hagen; Schanz, Michael: High-order variational Calculation for the Frequency of Time-periodic Solutions.
In: The American Physical Society (ed.): Physical Review E. Vol. 67, 016604.
University of Stuttgart, Faculty of Computer Science, Electrical Engineering, and Information Technology.
pp. 1-6, english.
Thomson ISI, January 10, 2003.
DOI: 10.1103/PhysRevE.67.016604.
Article in Journal.
CR-SchemaJ.2 (Physical Sciences and Engineering)
G.1.2 (Numerical Analysis Approximation)
Keywordsvariational techniques; nonlinear dynamical systems; perturbation theory
Abstract

We develop a convergent variational perturbation theory for the frequency of time-periodic solutions of nonlinear dynamical systems. The power of the theory is illustrated by applying it to the Duffing oscillator.

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Physical Review E 67 016604 (2003) [6 pages]
CopyrightThe American Physical Society
ContactMichael.Schanz@informatik.uni-stuttgart.de
Department(s)University of Stuttgart, Institute of Parallel and Distributed Systems, Image Understanding
Project(s)AnT
Entry dateApril 9, 2005
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