CUED Publications database

Global analysis of limit cycles in networks of oscillators

Stan, GB and Sepulchre, R (2004) Global analysis of limit cycles in networks of oscillators. In: UNSPECIFIED pp. 1153-1158..

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This paper is concerned with the global stability of limit cycle oscillations for a particular class of systems and uetworks. In previous work, we defined a class of parameter-dependent nonlinear systems exhibiting an almost globally asymptotically stable limit cycle. The results were proven for values of the parameter in the vicinity of a bifurcation value. In the present paper we restrict ourselves to a piece wise linear version of this class of systems and adapt numerical tools recently proposed in the literature to prove global stability of the limit cycle for a fixed value of the parameter above the bifurcation value. Furthermore, we show how the global stability results for one isolated oscillator are useful to prove the existence of a globally syuchroue oscillation in particular networks of identical oscillators.

Item Type: Conference or Workshop Item (UNSPECIFIED)
Divisions: Div F > Control
Depositing User: Cron Job
Date Deposited: 12 May 2019 20:04
Last Modified: 19 Aug 2021 03:53
DOI: 10.1016/S1474-6670(17)31382-4