Impulsive surfaces on dynamical systems

被引：5

作者：

Bonotto, E. M. ^{[1
]}

Bortolan, M. C. ^{[2
]}

Caraballo, T. ^{[3
]}

Collegari, R. ^{[1
]}

机构：

[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Campus Sao Carlos, BR-13560970 Sao Carlos, SP, Brazil

[2] Univ Fed Santa Catarina, Dept Matemat, Campus Trindade, BR-88040900 Florianopolis, SC, Brazil

[3] Univ Seville, Dept Ecuac Diferenciales & Anal Numer, Apdo Correos 1160, Seville 41080, Spain

来源：

ACTA MATHEMATICA HUNGARICA | 2016年 / 150卷 / 01期

基金：

巴西圣保罗研究基金会;

关键词：

impulsive set; hypersurface; dynamical system; SEMIDYNAMICAL SYSTEMS; ATTRACTORS; STABILITY;

D O I：

10.1007/s10474-016-0631-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This work is devoted to the construction of impulsive sets in . In the literature, there are many examples of impulsive dynamical systems whose impulsive sets are chosen in an abstract way, and in this paper we present sufficient conditions to characterize impulsive sets in which satisfy some "tube conditions" and ensure a good behavior of the flow. Moreover, we present some examples to illustrate the theoretical results.

引用

页码：209 / 216

页数：8

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