High-Order Variational Calculation for the Frequency of Time-Periodic Solutions

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.

arXiv commentAuthor Information under http://www.physik.fu-berlin.de/~pelster/, http://www.physik.fu-berlin.de/~kleinert/ and http://www.informatik.uni-stuttgart.de/ipvr/bv/personen/schanz.html

References in corpus (3)

• Variational perturbation expansion for strong-coupling coefficients of the anharmonic oscillator
• Convergence behavior of variational perturbation expansion-- A method for locating Bender-Wu singularities
• Theory and Satellite Experiment for Critical Exponent alpha of lambda-Transition in Superfluid Helium

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