On constructing chaotic maps with a prescribed probability distribution

zbMath1397.37039MaRDI QIDQ1788844

Peter M. Uhl, Hannah Bohn, Noah H. Rhee

Publication date: 9 October 2018

Published in: Missouri Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.mjms/1534384957

zbMATH Keywords

Frobenius-Perron operatorinvariant measurechaotic dynamical systeminvariant density

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Ergodicity, mixing, rates of mixing (37A25) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (2)

Piecewise monotonic maps with a common piecewise constant stationary density ⋮ Uniqueness of the common invariant density and the convergence of the fixed point iteration

Cites Work

• Unnamed Item
• Chaos, fractals, and noise: Stochastic aspects of dynamics.
• Synthesizing chaotic maps with prescribed invariant densities
• A novel matrix approach for controlling the invariant densities of chaotic maps
• SYNTHESIS OF PIECEWISE-LINEAR CHAOTIC MAPS: INVARIANT DENSITIES, AUTOCORRELATIONS, AND SWITCHING

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