High-order variational calculation for the frequency of time-periodic solutions

Axel Pelster; Hagen Kleinert; Michael Schanz

doi:10.1103/PhysRevE.67.016604

High-order variational calculation for the frequency of time-periodic solutions

Axel Pelster, Hagen Kleinert, and Michael Schanz

Phys. Rev. E 67, 016604 – Published 10 January 2003

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.

Received 26 August 2002

DOI:https://doi.org/10.1103/PhysRevE.67.016604

Authors & Affiliations

Axel Pelster^* and Hagen Kleinert^†

Institute of Theoretical Physics, Free University of Berlin, Arnimallee 14, D-14195 Berlin, Germany

Michael Schanz^‡

Institute of Parallel and Distributed Systems (IPVS), University of Stuttgart, Breitwiesenstraße 20-22, D-70565 Stuttgart, Germany

^*Email address: pelster@physik.fu-berlin.de
^†Email address: kleinert@physik.fu-berlin.de
^‡Email address: michael.schanz@informatik.uni-stuttgart.de

References (Subscription Required)

Click to Expand

Issue

Vol. 67, Iss. 1 — January 2003

Reuse & Permissions

Access Options

Author publication services for translation and copyediting assistance advertisement

Physical Review E

covering statistical, nonlinear, biological, and soft matter physics