ROTATION SETS AND PHASE-LOCKING IN AN ELECTRONIC 3 OSCILLATOR SYSTEM

被引：18

作者：

ASHWIN, P ^{[1
]}

GUASCHI, J ^{[1
]}

PHELPS, JM ^{[1
]}

机构：

[1] INST ESTUDIS CATALANS,CTR RECERCA MATEMAT,E-08193 BARCELONA,SPAIN

来源：

PHYSICA D | 1993年 / 66卷 / 3-4期

关键词：

D O I：

10.1016/0167-2789(93)90075-C

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The parameter space of an electronic three oscillator system is investigated and various codimension one and two bifurcations predicted by Baesens, Guckenheimer, Kim and MacKay are identified. Sampled time-series from the experimental systems are recorded and analysed for partial mode-locking or resonance (one or two independent rational relations between the average rates of change of the angles describing the system) using knowledge of where the invariant torus lies and the torus unfolding scheme of Ashwin and Swift. Examples of toroidal and annular chaos are investigated by finding bounds on the size and shape of the rotation set.

引用

页码：392 / 411

页数：20

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