A stochastic approach to the construction of one-dimensional chaotic maps with prescribed statistical properties

DOI10.1016/S0375-9601(99)00775-6zbMath0944.37020arXivchao-dyn/9910020OpenAlexW1978221810MaRDI QIDQ1569456

F. K. Diakonos, D. Pingel, P. Schmelcher

Publication date: 3 July 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/chao-dyn/9910020

zbMATH Keywords

unimodal mapschaotic dynamical lawsinverse Frobenius-Peron problem

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems involving maps of the interval (37E05) Approximation methods and numerical treatment of dynamical systems (37M99)

Related Items (10)

DEFINITION AND APPLICATIONS OF THE ASCENT-PROBABILITY DISTRIBUTION IN ONE-DIMENSIONAL MAPS ⋮ SYNTHESIS OF PIECEWISE-LINEAR CHAOTIC MAPS: INVARIANT DENSITIES, AUTOCORRELATIONS, AND SWITCHING ⋮ 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 ⋮ On complete chaotic maps with tent-map-like structures ⋮ Reconstruction of one-dimensional chaotic maps from sequences of probability density functions ⋮ Chaos optimization algorithms based on chaotic maps with different probability distribution and search speed for global optimization

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