A method of approximation of invariant measures for maps on the unit interval
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Publication:1053821
DOI10.1007/BF00419925zbMath0518.28013MaRDI QIDQ1053821
Publication date: 1983
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
polynomial solutionsalgorithmic constructioncritical parameterabsolutely continuous invariant measures for the triangular map on the unit interval
Measure-preserving transformations (28D05) One-parameter continuous families of measure-preserving transformations (28D10)
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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
Cites Work
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- Invariant measures for Markov maps of the interval
- On the bifurcation of maps of the interval
- Applications conservant une mesure absolument continue par rapport à \(dx\) sur \([0,1\)]
- On the nature of turbulence
- Statistical Mechanics of Deterministic Chaos: The Case of One-Dimensional Discrete Process
- Chaos in Nonlinear Difference Equations. I: Qualitative Study of (Formal) Chaos
- Period Three Implies Chaos
- Differentiable dynamical systems
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