TY  - JOUR
A1  - Goldobin, Denis S.
A1  - Pikovskij, Arkadij
T1  - Antireliability of noise-driven neurons
N2  - We demonstrate, within the framework of the FitzHugh-Nagumo model, that a firing neuron can respond to a noisy driving in a nonreliable manner: the same Gaussian white noise acting on identical neurons evokes different patterns of spikes. The effect is characterized via calculations of the Lyapunov exponent and the event synchronization correlations. We construct a theory that explains the antireliability as a combined effect of a high sensitivity to noise of some stages of the dynamics and nonisochronicity of oscillations. Geometrically, the antireliability is described by a random noninvertible one-dimensional map
Y1  - 2006
UR  - http://pre.aps.org/
U6  - https://doi.org/10.1103/Physreve.73.061906
SN  - 1539-3755
ER  - 
TY  - JOUR
A1  - Goldobin, Denis S.
A1  - Pikovskij, Arkadij
T1  - Effects of delayed feedback on Kuramoto transition
N2  - We develop a weakly nonlinear theory of the Kuramoto transition in an ensemble of globally coupled oscillators in presence of additional time-delayed coupling terms. We show that a linear delayed feedback not only controls the transition point, but effectively changes the nonlinear terms near the transition. A purely nonlinear delayed coupling does not effect the transition point, but can reduce or enhance the amplitude of collective oscillations
Y1  - 2006
UR  - http://www2.yukawa.kyoto-u.ac.jp/~ptpwww/link-supplement.html
U6  - https://doi.org/10.1143/PTPS.161.43
SN  - 0375-9687
ER  -