Delamotte, B. Nonperturbative (but approximate) method for solving differential equations and finding limit cycles. (English) Zbl 1051.65505 Phys. Rev. Lett. 70, No. 22, 3361-3364 (1993). Summary: 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. Cited in 1 ReviewCited in 16 Documents MSC: 65L05 Numerical methods for initial value problems involving ordinary differential equations 34A45 Theoretical approximation of solutions to ordinary differential equations 34C05 Topological structure of integral curves, singular points, limit cycles of ordinary differential equations PDF BibTeX XML Cite \textit{B. Delamotte}, Phys. Rev. Lett. 70, No. 22, 3361--3364 (1993; Zbl 1051.65505) Full Text: DOI References: [1] Y. Yan Qian, in: Theory of Limit Cycles (1986) [2] C.M. Andersen, SIAM J. Appl. Math 42 pp 678– (1982) · Zbl 0494.65053 [3] M.B. Dadfar, SIAM J. Appl. Math. 44 pp 881– (1984) · Zbl 0568.65048 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.