NONPERTURBATIVE (BUT APPROXIMATE) METHOD FOR SOLVING DIFFERENTIAL-EQUATIONS AND FINDING LIMIT-CYCLES

Authors
DELAMOTTE B
Citation
B. Delamotte, NONPERTURBATIVE (BUT APPROXIMATE) METHOD FOR SOLVING DIFFERENTIAL-EQUATIONS AND FINDING LIMIT-CYCLES, Physical review letters, 70(22), 1993, pp. 3361-3364
Citations number
9
Categorie Soggetti
Physics
Journal title
Physical review letters → ACNP
ISSN journal
00319007
Volume
70
Issue
22
Year of publication
1993
Pages
3361 - 3364
Database
ISI
SICI code
0031-9007(1993)70:22<3361:N(AMFS>2.0.ZU;2-I
Abstract
A nonperturbative method for solving differential equations and for fi nding limit cycles is proposed and is illustrated on the anharmonic os cillator and on the Van der Pol equation. It is shown to give the ampl itude, period, and equation of the limit cycle with a better accuracy than any perturbative results so far obtained.