Weak convergence of dynamical systems in two timescales

被引:0
|
作者
Basak, Gopal K. [1 ]
Dasgupta, Amites [1 ]
机构
[1] Stat-Math Unit, Indian Statistical Institute, 203 B. T. Road, Kolkata,700108, India
来源
关键词
Stochastic systems;
D O I
暂无
中图分类号
学科分类号
摘要
Dynamical systems driven by two or multi-timescales arise in systems science, natural and social sciences quite naturally. Work done by Vivek S. Borkar (1997) on stochastic approximation driven by two timescales and later by others pave the pathway for wide applications of such systems. In this article we provide weak convergence of such systems for the linear case. © 2020 Elsevier B.V.
引用
收藏
相关论文
共 50 条
  • [21] Delone dynamical systems and spectral convergence
    Beckus, Siegfried
    Pogorzelski, Felix
    ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2020, 40 (06) : 1510 - 1544
  • [22] ON GLOBAL WEAK ATTRACTORS IN DYNAMICAL SYSTEMS
    BHATIA, NP
    LAZER, AC
    SZEGO, GP
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1966, 16 (03) : 544 - &
  • [23] Weak Convergence of Measures in Conservative Systems
    V. V. Kozlov
    D. V. Treschev
    Journal of Mathematical Sciences, 2005, 128 (2) : 2791 - 2797
  • [24] ON THE STRUCTURE OF THE GLOBAL ATTRACTOR FOR INFINITE-DIMENSIONAL NON-AUTONOMOUS DYNAMICAL SYSTEMS WITH WEAK CONVERGENCE
    Caraballo, Tomas
    Cheban, David
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2013, 12 (01) : 281 - 302
  • [25] Weak Convergence and Weak* Convergence
    Narita, Keiko
    Endou, Noboru
    Shidama, Yasunari
    FORMALIZED MATHEMATICS, 2015, 23 (03): : 231 - 241
  • [26] Convergence of multilocus systems under weak epistasis or weak selection
    Nagylaki, T
    Hofbauer, J
    Brunovsky, P
    JOURNAL OF MATHEMATICAL BIOLOGY, 1999, 38 (02) : 103 - 133
  • [27] Convergence of multilocus systems under weak epistasis or weak selection
    Thomas Nagylaki
    Josef Hofbauer
    Pavol Brunovský
    Journal of Mathematical Biology, 1999, 38 : 103 - 133
  • [28] Strong dynamical screening in weak chemisorption systems
    Dobrodey, NV
    Cederbaum, LS
    Tarantelli, F
    SURFACE SCIENCE, 1998, 402 (1-3) : 508 - 512
  • [29] A convergence criterion for monotone global dynamical systems
    Bota, Constantin
    BALKAN JOURNAL OF GEOMETRY AND ITS APPLICATIONS, 2005, 10 (02): : 7 - 10
  • [30] Coherence and Convergence Rate in Networked Dynamical Systems
    Pirani, Mohammad
    Shahrivar, Ebrahim Moradi
    Sundaram, Shreyas
    2015 54TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2015, : 968 - 973