Nie, X. and Coca, D. orcid.org/0000-0003-2878-2422 (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. pp. 248-266. ISSN 1007-5704
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.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2017 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license. (http://creativecommons.org/licenses/by/4.0/) |
Keywords: | Nonlinear systems; Chaotic maps; Probability density functions; Inverse Frobenius–Perron problem |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Automatic Control and Systems Engineering (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 20 Jul 2017 10:19 |
Last Modified: | 20 Jul 2017 10:19 |
Published Version: | https://doi.org/10.1016/j.cnsns.2017.05.011 |
Status: | Published |
Publisher: | Elsevier |
Refereed: | Yes |
Identification Number: | 10.1016/j.cnsns.2017.05.011 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:118307 |