Weakly coupled oscillators in a slowly varying world
نویسندگان
چکیده
منابع مشابه
Slowly Coupled Oscillators: Phase Dynamics and Synchronization
In this paper we extend the results of Frankel and Kiemel [SIAM J. Appl. Math, 53 (1993), pp. 1436–1446] to a network of slowly coupled oscillators. First, we use Malkin’s theorem to derive a canonical phase model that describes synchronization properties of a slowly coupled network. Then, we illustrate the result using slowly coupled oscillators (1) near Andronov–Hopf bifurcations, (2) near sa...
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Networks whose structure of connections evolves in time constitute a big challenge in the study of synchronization, in particular when the time scales for the evolution of the graph topology are comparable with (or even longer than) those pertinent to the units' dynamics. We here focus on networks with a slow-switching structure, and show that the necessary conditions for synchronization, i.e. ...
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ژورنال
عنوان ژورنال: Journal of Computational Neuroscience
سال: 2016
ISSN: 0929-5313,1573-6873
DOI: 10.1007/s10827-016-0596-6