RELAXATION OSCILLATIONS OF A VAN DER POL EQUATION WITH LARGE CRITICAL FORCING TERM

被引：10

作者：

GRASMAN, J

机构：

来源：

QUARTERLY OF APPLIED MATHEMATICS | 1980年 / 38卷 / 01期

关键词：

D O I：

10.1090/qam/575829

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A van der Pol equation with sinusoidal forcing term is analyzed with singular perturbation methods for large values of the parameter. Asymptotic approximations of (sub)harmonic solutions with period T equals 2 pi (2n minus 1), n equals 1,2,. . . are constructed under certain restricting conditions for the amplitude of the forcing term. These conditions are such that always two solutions with period T equals 2 pi (2n plus or minus 1) coexist.

引用

页码：9 / 16

页数：8

共 11 条

[1]

Bavinck H., 1974, International Journal of Non-Linear Mechanics, V9, P421, DOI 10.1016/0020-7462(74)90008-0

[2]

FLAHERTY JE, 1978, STUD APPL MATH, V18, P5

[3] RELAXATION OSCILLATIONS GOVERNED BY A VANDERPOL EQUATION WITH PERIODIC FORCING TERM [J].