Title
Solving the inverse Frobenius-Perron problem using stationary densities of dynamical systems with input perturbations
Abstract
•One-dimensional discrete-time dynamical systems are inferred from stationary densities generated by the systems in the presence of input perturbation.•The main assumption is that the stationary densities can be observed and estimated given arbitrary initial conditions.•The unique stationary density function generated by a perturbed system exists, corresponding to a specified input density function.•The stationary density is dependent on the probability density function of an external control input given a transformation.•A practical algorithm of determining the unknown transformation using stationary densities generated by a system with linearly independent input density functions is introduced.
Year
DOI
Venue
2020
10.1016/j.cnsns.2020.105302
Communications in Nonlinear Science and Numerical Simulation
Keywords
DocType
Volume
Nonlinear systems,Chaotic maps,Asymptotic stability,Stationary densities,Inverse Frobenius-Perron problem
Journal
90
ISSN
Citations 
PageRank 
1007-5704
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Xiaokai Nie100.34
Daniel Coca210620.12
Jingjing Luo300.34
Mark Birkin4144.98