Kreuz T, Luccioli S, Torcini A:
Coherence Resonance due to correlated noise in neuronal models
Neurocomputing 70, 1970 (2007) [PDF]
Abstract: We study the regularity of noise-induced excitations in the FitzHugh-Nagumo (FHN) neuronal model subject to excitatory and inhibitory high-frequency input with and without correlations. For each value of the correlation a relative maximum of spike coherence can be observed for intermediate noise strengths (coherence resonance). Moreover, the FHN system exhibits an absolute maximum of coherent spiking for intermediate values of both the noise amplitude and the strength of correlation (double coherence resonance). The underlying mechanisms can be explained by means of the discrete input statistics.
 Torcini A, Luccioli S, Kreuz T:
Coherent Response of the Hodgkin-Huxley neuron in the high input regime
Neurocomputing 70, 1943 (2007) [PDF]
 Kreuz T, Luccioli S, Torcini A:
Double coherence resonance in neuron models driven by discrete correlated noise
Phys Rev Lett 97, 238101 (2006) [PDF]
Abstract: We study the influence of correlations among discrete stochastic excitatory or inhibitory inputs on the response of the FitzHugh-Nagumo neuron model. For any level of correlation, the emitted signal exhibits at some finite noise intensity a maximal degree of regularity, i.e., a coherence resonance. Furthermore, for either inhibitory or excitatory correlated stimuli, a double coherence resonance is observable. Double coherence resonance refers to a (absolute) maximum coherence in the output occurring for an optimal combination of noise variance and correlation. All of these effects can be explained by taking advantage of the discrete nature of the correlated inputs.
 Luccioli S, Kreuz T, Torcini A:
Dynamical response of the Hodgkin-Huxley model in the high-input regime
Phys Rev E 73, 041902 (2006) [PDF]