Numerical approximations of a class of switch dynamical systems

被引：8
作者：
Danca, Marius-F. [1 ]
机构：
[1] Technofrig Tech Coll, Dept Math, Cluj Napoca, Romania
来源：
CHAOS SOLITONS & FRACTALS | 2008年 / 38卷 / 01期
关键词：
D O I：
10.1016/j.chaos.2006.11.003
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The problem of numerically approximating a class of dynamical systems with discontinuous state variables by forward Euler method for differential inclusions, viewed as dynamical systems, is discussed in this paper. It is shown that such discontinuous initial value problems may be transformed into set-valued problems and then approximated by special numerical methods for differential inclusions which may be viewed as (ideally continuous) dynamical systems. (c) 2006 Elsevier Ltd. All rights reserved.
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页码：184 / 191
页数：8
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