Open AccessExact coefficients of the limit cycle in Van der Pol's equation
Author(s) -
André Deprit,
Dieter Schmidt
Publication year - 1979
Publication title -
journal of research of the national bureau of standards
Language(s) - English
Resource type - Journals
eISSN - 2376-5259
pISSN - 0160-1741
DOI - 10.6028/jres.084.013
Subject(s) - van der pol oscillator , limit (mathematics) , limit cycle , series (stratigraphy) , generator (circuit theory) , physics , poisson distribution , mathematics , mathematical physics , quantum mechanics , mathematical analysis , statistics , power (physics) , paleontology , nonlinear system , biology
A program generator to manipulate automatically Poisson series over the field of rational numbers is applied to develop the limit cycle of Van der Pol's equation in the powers of the small parameter. The results indicate that the recurrence relations in what Melvin calls the algorithm of the shifted phase are stable.