TY  - JOUR
A1  - Komarov, Maxim
A1  - Bazhenov, Maxim
T1  - Linking dynamics of the inhibitory network to the input structure
JF  - Journal of computational neuroscience
KW  - Inhibitory neurons
KW  - Information coding
KW  - Neural network
KW  - Olfactory system
KW  - Spike sequences
KW  - Odor discrimination
Y1  - 2016
U6  - https://doi.org/10.1007/s10827-016-0622-8
SN  - 0929-5313
SN  - 1573-6873
VL  - 41
SP  - 367
EP  - 391
PB  - Springer
CY  - Dordrecht
ER  - 
TY  - JOUR
A1  - Krishnan, Giri Panamoottil
A1  - Bazhenov, Maxim
A1  - Pikovskij, Arkadij
T1  - Multipulse phase resetting curves
JF  - Physical review : E, Statistical, nonlinear and soft matter physics
N2  - In this paper, we introduce and study systematically, in terms of phase response curves, the effect of dual-pulse excitation on the dynamics of an autonomous oscillator. Specifically, we test the deviations from linear summation of phase advances resulting from two small perturbations. We analytically derive a correction term, which generally appears for oscillators whose intrinsic dimensionality is >1. The nonlinear correction term is found to be proportional to the square of the perturbation. We demonstrate this effect in the Stuart-Landau model and in various higher dimensional neuronal models. This deviation from the superposition principle needs to be taken into account in studies of networks of pulse-coupled oscillators. Further, this deviation could be used in the verification of oscillator models via a dual-pulse excitation.
Y1  - 2013
U6  - https://doi.org/10.1103/PhysRevE.88.042902
SN  - 1539-3755
SN  - 1550-2376
VL  - 88
IS  - 4
PB  - American Physical Society
CY  - College Park
ER  -