Border-collision bifurcations in one-dimensional discontinuous maps

被引：96

作者：

Jain, P ^{[1
]}

Banerjee, S

机构：

[1] Stanford Univ, Dept Mech Engn, Stanford, CA 94305 USA

[2] Indian Inst Technol, Dept Elect Engn, Kharagpur 721302, W Bengal, India

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2003年 / 13卷 / 11期

关键词：

border-collision bifurcations; discontinuous maps; power electronics;

D O I：

10.1142/S0218127403008533

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a classification of border-collision bifurcations in one-dimensional discontinuous maps depending on the parameters of the piecewise linear approximation in the neighborhood of the point of discontinuity. For each range of parameter values we derive the condition of existence and stability of various periodic orbits and of chaos. This knowledge will help in understanding the bifurcation phenomena in a large number of practical systems which can be modeled by discontinuous maps in discrete domain.

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页码：3341 / 3351

页数：11

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