Uniqueness of the common invariant density and the convergence of the fixed point iteration

DOI10.35834/2019/3102113zbMath1454.37007OpenAlexW2983828834MaRDI QIDQ2212228

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

Publication date: 19 November 2020

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

Full work available at URL: https://projecteuclid.org/euclid.mjms/1573873222

zbMATH Keywords

Frobenius-Perron operatorchaotic dynamical systeminvariant densityfixed point algorithm

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Fixed-point theorems (47H10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fixed-point iterations (47J26)

Related Items (1)

Piecewise monotonic maps with a common piecewise constant stationary density

Cites Work

• Unnamed Item
• Chaos, fractals, and noise: Stochastic aspects of dynamics.
• On constructing chaotic maps with a prescribed probability distribution
• 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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