Global stability analysis of birhythmicity in a self-sustained oscillator

R. Yamapi, G. Filatrella, and M. A. Aziz-Alaoui We analyze the global stability properties of birhythmicity in a self-sustained system with random excitations. The model is a multi-limit-cycle variation in the van der Pol oscillator introduced to analyze enzymatic substrate reactions in brain waves. We show that the two frequencies are strongly i ... [Chaos 20, 013114 (2010)] published Tue Mar 9, 2010.


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