Occurrence of multiple attractor bifurcations in the two-dimensional piecewise linear normal form map

被引：18

作者：

Avrutin, Viktor ^{[1
]}

Schanz, Michael ^{[1
]}

Banerjee, Soumitro ^{[2
]}

机构：

[1] Univ Stuttgart, Stuttgart, Germany

[2] Indian Inst Sci Educ & Res Kolkata, Nadia 741252, W Bengal, India

来源：

NONLINEAR DYNAMICS | 2012年 / 67卷 / 01期

关键词：

Piecewise smooth maps; Multiple attractor bifurcations; Border collision bifurcations; Crisis bifurcations; BORDER-COLLISION BIFURCATIONS; GRAZING BIFURCATIONS; LOCAL ANALYSIS; SMOOTH MAPS;

D O I：

10.1007/s11071-011-9978-5

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

Multiple attractor bifurcations occurring in piecewise smooth dynamical systems may lead to potentially damaging situations. In order to avoid these in physical systems, it is necessary to know their conditions of occurrence. Using the piecewise-linear 2D normal form, we investigate which types of multiple attractor bifurcations may occur and where in the parameter space they can be expected. For piecewise smooth maps, multiple attractor bifurcations will be expected to occur if the condition we identified for the piecewise-linear 2D normal form are satisfied in the close neighborhood of the border.

引用

页码：293 / 307

页数：15

共 38 条

[1]

ANGULO F, 2005, ISCAS, V2, P1485, DOI DOI 10.1109/ISCAS.2005.1464880

[2] Two-parameter discontinuity-induced bifurcation curves in a ZAD-strategy-controlled dc-dc buck converter [J].