A GEOMETRIC MODEL FOR THE DUFFING OSCILLATOR

被引：4

作者：

McCallum, J. W. L. ^{[1
]}

Gilmore, R. ^{[1
]}

机构：

[1] Drexel Univ, Dept Phys & Atmospher Sci, Philadelphia, PA 19104 USA

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1993年 / 3卷 / 03期

关键词：

D O I：

10.1142/S0218127493000593

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A geometric model for the Duffing oscillator is constructed by analyzing the unstable periodic orbits underlying the chaotic attractors present at particular parameter values. A template is constructed from observations of the motion of the chaotic attractor in a Poincare section as the section is swept for one full period. The periodic orbits underlying the chaotic attractor are found and their linking numbers are computed. These are compared with the linking numbers from the template and the symbolic dynamics of the orbits are identified. This comparison is used to validate the template identification and label the orbits by their symbolic dynamics.

引用

页码：685 / 691

页数：7

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