On a possible approximation of discontinuous dynamical systems

被引:22
|
作者
Danca, MF [1 ]
Codreanu, S
机构
[1] Spiru Haret Coll, Dept Math, Cluj Napoca 3400, Romania
[2] Univ Babes Bolyai, Dept Theoret Phys, R-3400 Cluj Napoca, Romania
关键词
D O I
10.1016/S0960-0779(01)00002-9
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This work presents the arguments for the possibility of approximating some discontinuous dynamical systems with continuous or even smooth dynamical systems. The discontinuous differential equation, which describes the system, is transformed into a differential inclusion and then into a differential equation with continuous or smooth right-hand side. As an example a generalization of the equations governing Chua's circuit is presented. (C) 2001 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:681 / 691
页数:11
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