On the construction of one-dimensional iterative maps from the invariant density: The dynamical route to the beta distribution.
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Publication:1967772
DOI10.1016/0375-9601(95)00971-XzbMath1060.65525OpenAlexW2012475956MaRDI QIDQ1967772
Publication date: 7 March 2000
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0375-9601(95)00971-x
Topological dynamics (37B99) Algorithms for approximation of functions (65D15) Dynamical systems involving maps of the interval (37E05)
Related Items (12)
A new approach to identification of input-driven dynamical systems from probability densities ⋮ Identification of stochastically perturbed autonomous systems from temporal sequences of probability density functions ⋮ The inverse Frobenius-Perron problem: a survey of solutions to the original problem formulation ⋮ A matrix-based approach to solving the inverse Frobenius-Perron problem using sequences of density functions of stochastically perturbed dynamical systems ⋮ Solving the inverse Frobenius-Perron problem using stationary densities of dynamical systems with input perturbations ⋮ ROBUST CHAOS IN POLYNOMIAL UNIMODAL MAPS ⋮ A Turning Point Analysis of the Ergodic Dynamics of Iterative Maps ⋮ Turning point properties as a method for the characterization of the ergodic dynamics of one-dimensional iterative maps ⋮ Reconstruction of one-dimensional chaotic maps from sequences of probability density functions ⋮ CONTROLLING CHAOS AND THE INVERSE FROBENIUS–PERRON PROBLEM: GLOBAL STABILIZATION OF ARBITRARY INVARIANT MEASURES ⋮ A stochastic approach to the construction of one-dimensional chaotic maps with prescribed statistical properties ⋮ Theory and examples of the inverse Frobenius–Perron problem for complete chaotic maps
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