A theory for flow switchability in discontinuous dynamical systems

被引：90
作者：
Luo, Albert C. J. [1 ]
机构：
[1] So Illinois Univ, Dept Mech & Ind Engn, Edwardsville, IL 62026 USA
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2008年 / 2卷 / 04期
关键词：
Passable flow; Non-passable flow; Flow switching bifurcation; Switchability; First integral quantity increment; Discontinuous dynamical systems; Sliding bifurcation; Sliding fragmentation; Real flow; Imaginary flow;
D O I：
10.1016/j.nahs.2008.07.003
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The G-functions for discontinuous dynamical systems are introduced to investigate singularity in discontinuous dynamical systems. Based on the new G-function, the switchability of a flow from a domain to an adjacent one is discussed. Further, the full and half sink and source, non-passable flows to the separation boundary in discontinuous dynamical systems are discussed. A flow to the separation boundary in a discontinuous dynamical system can be passable or non-passable. Therefore, the switching bifurcations between the passable and non-passable flows are presented. Finally, the first integral quantity increment for discontinuous dynamical systems is given instead of the Melnikov function to develop the iterative mapping relations. (C) 2008 Elsevier Ltd. All rights reserved.
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页码：1030 / 1061
页数：32
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