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Coherence enhancement in nonlinear systems subject to multiplicative Ornstein-Uhlenbeck noise
Juan L Cabrera1, J Gorroñogoitia, F J de la Rubia
1Department of Neurology, MC-2030, The University of Chicago, 5841 South Maryland Avenue, Chicago, Illinois 60637, USA. jlc@ace.bsd.uchicago.edu
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 21, 2002
Abstract:
We show that for two biologically relevant models with self-sustained oscillations under the action of a multiplicative Ornstein-Uhlenbeck process, their coherence response behaves nonmonotonically with the process correlation time. There is a correlation time for which the quality factor is optimized. This phenomenon is a consequence of the interplay between the correlation time and the system's periodicity. This relation is evidenced through a power law relation with an exponent close to -1 / 2.