Coherence and Stochastic Resonance in Nonlinear Dynamical Systems
Nichtlineare und Stochastische Physik, Bd. 8
Benjamin Lindner
ISBN 978-3-89722-848-1
200 pages, year of publication: 2002
price: 40.50 €
This study explores nontrivial roles of fluctuations (noise) in simple
excitable, bistable, and oscillatory systems encountered in physics,
chemistry, and neurobiology. The book contains a number of useful
analytical results including derivations of the linear response of
leaky integrate-and-fire neuron and FitzHugh-Nagumo neuron models to
white noise and/or periodic stimulation and the derivation of the
diffusion coefficient for an overdamped Brownian particle in tilted
periodic potential.
By means of these results it is shown that in
those models noise of suitable (finite) intensity may (i) increase the
regularity of the output (coherence resonance) (ii) enhance the
transmission performance with respect to weak periodic stimulation
(stochastic resonance) (iii) enhance the frequency sensitivity with
respect to periodic stimulation (stochastic double resonance due to
coherence resonance) (iv) serve as an efficient signal carrier (noise
coding of signals). Some conclusions are drawn for neuronal signal
transmission.