Reconstruction of the coupling matrix in the ensemble of identical neuron-like oscillators with time delay in coupling
2016, Vol. 12, No. 4, pp. 567–576
Author(s): Sysoev I. V., Ponomarenko V. I.
The proposed method is based on the previously developed approach for reconstruction of diffusively coupled ensembles of time-delayed oscillators. To determine coupling coefficients, the target function is minimized with least-squares routine for each oscillator independently. This function characterizes the continuity of experimental data. Time delays are revealed using a special version of the gradient descent method adapted to the discrete case.
It is shown in the numerical experiment that the proposed method allows one to accurately estimate most of time delays (∼99%) even if short time series are used. The method is asymptotically unbiased.
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