A matrix-based approach to solving the inverse Frobenius–Perron problem using sequences of density functions of stochastically perturbed dynamical systems

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Abstract

The paper introduces a matrix-based approach to estimate the unique one-dimensional discrete-time dynamical system that generated a given sequence of probability density functions whilst subjected to an additive stochastic perturbation with known density.

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Nie, X., & Coca, D. (2018). A matrix-based approach to solving the inverse Frobenius–Perron problem using sequences of density functions of stochastically perturbed dynamical systems. Communications in Nonlinear Science and Numerical Simulation, 54, 248–266. https://doi.org/10.1016/j.cnsns.2017.05.011

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