Abstract
The method for reconstruction of nonlinear potential, dissipation and coupling functions for all elements of ensembles of coupled generalized Van der Pol oscillators (including Rayleigh and Bonhoeffer–Van der Pol oscillators) from multivariate time series is proposed.It is based on the idea of using the smoothness of reconstructed potential function as a criterion for quality of reconstruction. Therefore, no parametrization for potential is required and an arbitrary potential function unique for each oscillator in the ensemble can be considered. Different approaches to reconstruction of dissipation are studied. Linear and nonlinear coupling between oscillators is considered, including coupling by derivatives. Effects of measurement noise, contaminating the series, are taken into account.
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