QUASI-PERIODIC RESONANCE AND BIFURCATIONS OF TORI IN THE WEAKLY NONLINEAR DUFFING OSCILLATOR

被引：7

作者：

BELOGORTSEV, AB ^{[1
]}

机构：

[1] KHARKOV STATE UNIV,DEPT RADIOPHYS,KHARKOV 310077,UKRAINE,USSR

来源：

PHYSICA D | 1992年 / 59卷 / 04期

关键词：

D O I：

10.1016/0167-2789(92)90079-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study analytically and numerically the weakly nonlinear quasiconservative Duffing oscillator under 2-periodic forcing. Utilizing the secondary averaging approach we derive approximate analytical expressions for the quasiperiodic response of the oscillator and for conditions of torus bifurcations. The theoretical results are in good agreement with the numerical ones. The structure of the bifurcation sets in the oscillator parameter space is similar to that of a one-dimensional map with two extrema.

引用

页码：417 / 429

页数：13

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