273 citations · 874 across the 9 of their papers we have counts for
9 papers
Nonlinear Statistical Modelling and Model Discovery for Cardiorespiratory Data
D. G. Luchinsky, V. N. Smelyanskiy, M. M. Millonas +2
We present a Bayesian dynamical inference method for characterizing cardiorespiratory (CR) dynamics in humans by inverse modelling from blood pressure time-series data. This new me…
Reconstruction of stochastic nonlinear dynamical models from trajectory measurements
V. N. Smelyanskiy, D. G. Luchinsky, D. A. Timucin +1
A new algorithm is presented for reconstructing stochastic nonlinear dynamical models from noisy time-series data. The approach is analytical; consequently, the resulting algorithm…
Pattern Formation and Functionality in Swarm Models
Erik M. Rauch, Mark M. Millonas, Dante R. Chialvo
We explore a simplified class of models we call swarms, which are inspired by the collective behavior of social insects. We perform a mean-field stability analysis and perform nume…
Temporally Asymmetric Fluctuations are Sufficient for the Operation of a Correlation Ratchet
Dante R. Chialvo, Mark M. Millonas
It has been shown that the combination of a broken spatial symmetry in the potential (or ratchet potential) and time correlations in the driving are crucial, and enough to allow tr…
Observable and hidden singular features of large fluctuations in nonequilibrium systems
Mark I. Dykman, Mark M. Millonas, Vadim N. Smelyanskiy
We study local features, and provide a topological insight into the global structure of the probability density distribution and of the pattern of the optimal paths for large rare…
Transport and current reversal in stochastically driven ratchets
Mark M. Millonas, Mark I. Dykman
We present analytic results for the current in a system moving in an arbitrary periodic potential and driven by weak Gaussian noise with an arbitrary power spectrum which are valid…