A ONE-DIMENSIONAL MODEL OF DYNAMICS FOR A CLASS OF 3RD-ORDER SYSTEMS

被引：1

作者：

OGORZALEK, MJ ^{[1
]}

机构：

[1] ECOLE POLYTECH FED LAUSANNE,CHAIRE CIRCUITS & SYST,CH-1015 LAUSANNE,SWITZERLAND

来源：

INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS | 1990年 / 18卷 / 06期

关键词：

D O I：

10.1002/cta.4490180606

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

For a class of third‐order non‐linear systems whose dynamics is governed by a differential equation of the form (Formula Presented.) we propose a one‐dimensional model reflecting the dynamic properties of the original system. Construction of this model map has been based on analysis of the trajectory behaviour in the original third‐order system. Properties of the model map have been investigated. Experiments have proved that the proposed one‐dimensional map, termed a deformed spiral map, reproduces the qualitative behaviour (e.g. bifurcation sequences) of the original system with very good accuracy. Copyright © 1990 John Wiley & Sons, Ltd.

引用

页码：595 / 624

页数：30

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