GENERALIZED SEMIFLOWS AND CHAOS IN MULTIVALUED DYNAMICAL SYSTEMS

被引：1

作者：

Beran, Zdenek ^{[1
]}

Celikovsy, Sergej ^{[1
]}

机构：

[1] Acad Sci Czech Republ, Inst Informat Theory & Automat, Vvi, CR-18208 Prague 8, Czech Republic

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2012年 / 26卷 / 25期

关键词：

Multivalued dynamical systems; chaos; differential inclusions; PERIODIC-SOLUTIONS; DIFFERENTIAL-EQUATIONS; MELNIKOV METHOD; BIFURCATION;

D O I：

10.1142/S0217979212460162

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

This contribution addresses a possible description of the chaotic behavior in multivalued dynamical systems. For the multivalued system formulated via differential inclusion the practical conditions on the right-hand side are derived to guarantee existence of a solution, which leads to the chaotic behavior. Our approach uses the notion of the generalized semiflow but it does not require construction of a selector on the set of solutions. Several applications are provided by concrete examples of multivalued dynamical systems including the one having a clear physical motivation.

引用

页数：11

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