TRANSITION THROUGH RESONANCE OF A DUFFING OSCILLATOR

被引：11

作者：

COLLINGE, IR ^{[1
]}

OCKENDON, JR ^{[1
]}

机构：

[1] OXFORD UNIV,COMP LAB,OXFORD OX1 3PL,ENGLAND

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 1979年 / 37卷 / 02期

关键词：

D O I：

10.1137/0137026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The transition through resonance of a weakly nonlinear oscillator is described. The oscillator is described by Duffing's equation and the forcing frequency varies very slowly in the neighborhood of the natural frequency of the linearized equation. When the damping is sufficiently small, oscillations are excited on a wide variety of timescales.

引用

页码：350 / 357

页数：8

共 8 条

[1]

ABLOWITZ MJ, 1973, STUD APPL MATH, V52, P51

[2]

Cole J. D., 1968, PERTURBATION METHODS

[3]

COLLINGE IR, 1974, THESIS OXFORD U

[4]

JORDAN D.W., 1977, NONLINEAR ORDINARY D

[5] PASSAGE THROUGH RESONANCE FOR A ONE-DIMENSIONAL OSCILLATOR WITH SLOWLY VARYING FREQUENCY [J].

KEVORKIAN, J .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1971, 20 (03) :364-+

[6] CORRECTION [J].

KEVORKIAN, J .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1974, 26 (03) :686-686

[7]

Lewis FM, 1932, T AM SOC MECH ENG, V54, P253

[8] A PERTURBATION METHOD FOR NONLINEAR DISPERSIVE WAVE PROBLEMS [J].

LUKE, JC .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1966, 292 (1430) :403-&

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