A piecewise quadratic maximum entropy method for the statistical study of chaos
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Publication:743215
DOI10.1016/j.jmaa.2014.08.003zbMath1298.65192OpenAlexW1969212969MaRDI QIDQ743215
Jiu Ding, Tulsi Upadhyay, Noah H. Rhee
Publication date: 23 September 2014
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.08.003
algorithmFrobenius-Perron operatormaximum entropypartition of unitynumerical resultinvariant densitynonsingular transformationstatistical study of chaos
Related Items (4)
Unnamed Item ⋮ A Piecewise Linear Maximum Entropy Method for Invariant Measures of Random Maps with Position-Dependent Probabilities ⋮ Piecewise convex deterministic dynamical systems and weakly convex random dynamical systems and their invariant measures ⋮ Approximating solutions of Fredholm integral equations via a general spline maximum entropy method
Cites Work
- Unnamed Item
- A maximum entropy method based on piecewise linear functions for the recovery of a stationary density of interval mappings
- A maximum entropy method for solving Frobenius-Perron operator equations
- Chaos, fractals, and noise: Stochastic aspects of dynamics.
- The maximum entropy method
- Information Theory and Statistical Mechanics
- Lyapunov exponents and the natural invariant density determination of chaotic maps: an iterative maximum entropy ansatz
- Spectral estimation for sensor arrays
- On the Convergence of Moment Problems
- Markov finite approximation of Frobenius-Perron operator
- Convergence of Best Entropy Estimates
- Maximum entropy approximation for Lyapunov exponents of chaotic maps
- Birkhoff's ergodic theorem and the piecewise-constant maximum entropy method for Frobenius–Perron operators
- A Maximum Entropy Method Based on Orthogonal Polynomials for Frobenius-Perron Operators
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