Nonperturbative (but approximate) method for solving differential equations and finding limit cycles

B. Delamotte
Phys. Rev. Lett. 70, 3361 – Published 31 May 1993
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Abstract

A nonperturbative method for solving differential equations and for finding limit cycles is proposed and is illustrated on the anharmonic oscillator and on the Van der Pol equation. It is shown to give the amplitude, period, and equation of the limit cycle with a better accuracy than any perturbative results so far obtained.

  • Received 22 September 1992

DOI:https://doi.org/10.1103/PhysRevLett.70.3361

©1993 American Physical Society

Authors & Affiliations

B. Delamotte

  • Laboratoire de Physique Théorique et Hautes Energies, Université Paris 7, Tour 24-5 Étage, 2 place Jussieu 75251 Paris CEDEX 05, France

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Vol. 70, Iss. 22 — 31 May 1993

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