An algorithm to control chaotic behavior in one-dimensional maps

DOI10.1016/0898-1221(96)00002-8zbMath0847.58054OpenAlexW1971760258MaRDI QIDQ1913451

Boyarski, Abraham, Góra, Paweł

Publication date: 14 May 1996

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(96)00002-8

zbMATH Keywords

algorithminvariant measureprobability density functionabsolutely continuousMarkov mapscontrol of dynamical system

Mathematics Subject Classification ID

Fuzzy control/observation systems (93C42) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Low-dimensional dynamical systems (37E99) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (6)

A new approach to identification of input-driven dynamical systems from probability densities ⋮ A new approach to controlling chaotic systems ⋮ A matrix-based approach to solving the inverse Frobenius-Perron problem using sequences of density functions of stochastically perturbed dynamical systems ⋮ OPTIMAL CONTROL OF CHAOTIC SYSTEMS ⋮ 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

Cites Work

• Compactness of Invariant Densities for Families of Expanding, Piecewise Monotonic Transformations
• Using the sensitive dependence of chaos (the ‘‘butterfly effect’’) to direct trajectories in an experimental chaotic system
• Controlling chaos in high dimensional systems
• A Matrix Solution to the Inverse Perron-Frobenius Problem
• Controlling chaotic dynamical systems

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