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
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"
Conference_Titel :
"Stability and Control Processes" in Memory of V.I. Zubov (SCP), 2015 International Conference
DOI :
10.1109/SCP.2015.7342036
