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Dissipativity and Global Analysis of Limit Cycles in Networks of Oscillators

Stan G.B. and Sepulchre R.

Proceedings of the 16th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2004), July 2004

Abstract

This paper is concerned with the global analysis of synchrone oscillations in special networks of oscillators. In previous work, we defined a class of parameter-dependent nonlinear systems exhibiting almost globally asymptotically stable limit cycle oscillations. The results were proven for values of the parameter in the vicinity of a bifurcation value. In this paper, we show how (incremental) dissipativity may be used to extend the global analysis of limit cycle oscillations to networks of coupled identical systems.

BibTex Entry

@InProceedings{,: author = {Stan G.B. and Sepulchre R.},; title = {Dissipativity and Global Analysis of Limit Cycles in Networks of Oscillators},; address = {Leuven, Belgium},; booktitle = {Proceedings of the 16th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2004)},; month = {July},; year = {2004}
}



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