A cohomological index of Fuller type for set-valued dynamical systems

被引：2
|
作者：
Kryszewski, Wojciech [1 ]
Skiba, Robert [1 ]
机构：
[1] Nicolaus Copernicus Univ, Fac Math & Comp Sci, PL-87100 Torun, Poland
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 02期
关键词：
Set-valued map; Poincare map; Differential inclusion; Periodic orbit; Fixed point index; Fuller index; FIXED-POINT INDEX; PERIODIC-ORBITS; CONLEY TYPE;
D O I：
10.1016/j.na.2011.09.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the paper we develop the theory of a cohomological index of the Fuller type detecting periodic orbits of a set-valued dynamical system generated by a differential inclusion or a differential equation without the uniqueness of solutions. The theory presented is applied to establish a general result on the existence of bifurcation of periodic orbits from an equilibrium point of a differential inclusion. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：684 / 716
页数：33
相关论文
共 50 条
  • [41] A set-valued Egoroff type theorem
    Precupanu, Anca
    Gavrilut, Alina
    FUZZY SETS AND SYSTEMS, 2011, 175 (01) : 87 - 95
  • [42] Comparison of Set-valued Dynamical System State Estimates
    Podivilova, E.
    Shiryaev, V.
    Gusev, E. V.
    2017 2ND INTERNATIONAL URAL CONFERENCE ON MEASUREMENTS (URALCON), 2017, : 58 - 63
  • [43] Averaging of set-valued impulsive systems
    Perestyuk, N. A.
    Skripnik, N. V.
    UKRAINIAN MATHEMATICAL JOURNAL, 2013, 65 (01) : 140 - 157
  • [44] Set-valued ordered information systems
    Qian, Yuhua
    Dang, Chuangyin
    Liang, Jiye
    Tang, Dawei
    INFORMATION SCIENCES, 2009, 179 (16) : 2809 - 2832
  • [45] Averaging of set-valued impulsive systems
    N. A. Perestyuk
    N. V. Skripnik
    Ukrainian Mathematical Journal, 2013, 65 : 140 - 157
  • [46] Sensitivity of set-valued discrete systems
    Liu, Heng
    Shi, Enhui
    Liao, Gongfu
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (12) : 6122 - 6125
  • [47] Set-valued estimation for nonlinear systems
    Shamma, JS
    Tu, KY
    PROCEEDINGS OF THE 1997 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 1997, : 3007 - 3011
  • [48] Set-valued observers for control systems
    Doyen, L
    Rapaport, A
    DYNAMICS AND CONTROL, 2001, 11 (03) : 283 - 296
  • [49] On set-valued Itô's integrals and set-valued martingales
    Kisielewicz, Michal
    Michta, Mariusz
    STOCHASTIC ANALYSIS AND APPLICATIONS, 2025,
  • [50] SET-VALUED MEASURE AND FUZZY SET-VALUED MEASURE
    ZHANG, WX
    LI, T
    MA, JF
    LI, AJ
    FUZZY SETS AND SYSTEMS, 1990, 36 (01) : 181 - 188
12345