• DocumentCode
    3701336
  • Title

    An orbitally asymptotically stable cycle in weakly coupled identical systems

  • Author

    Ivan N. Barabanov;Valentin N. Tkhai

  • Author_Institution
    V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, 65 Profsoyuznaya st., Moscow, 117997 Russia
  • fYear
    2015
  • Firstpage
    2
  • Lastpage
    4
  • Abstract
    The dynamical model containing coupled identical subsystems is considered. A subsystem is supposed to admit of a family of periodic solutions with the period being a monotonic function of a single numerical parameter. Conditions to be imposed on couplings such that the whole system admits a family Σ of periodic motions similar to that of a subsystem are found. An orbitally asymptotically stable cycle is distinguished in Σ.
  • Keywords
    "Mathematical model","Couplings","Oscillators","Asymptotic stability","Nonlinear dynamical systems","Sun","Differential equations"
  • Publisher
    ieee
  • Conference_Titel
    "Stability and Control Processes" in Memory of V.I. Zubov (SCP), 2015 International Conference
  • Type

    conf

  • DOI
    10.1109/SCP.2015.7342036
  • Filename
    7342036
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3701336