Add to ORKGLet S:[0,1]→[0,1] be a chaotic map and let P:L1(0,1)→L1(0,1) be the corresponding Frobenius–Perron operator. We propose a piecewise linear approximations method based on interpolation that can be efficiently used to compute a fixed density of P. The convergence of the method for a class of mappings is proved, and numerical results are also presented
AbstractIn this paper we survey some recent developments in the numerical analysis of Markov operato...
The statistical study of chaotic dynamical systems has received a great deal of attention in the pas...
Let the Frobenius–Perron operator PS:L1(0,1)→L1(0,1), related to a nonsingular transformation S:[0,1...
Let S:[0,1]→[0,1] be a chaotic map and let P:L1(0,1)→L1(0,1) be the corresponding Frobenius–Perron o...
We propose a piecewise linear numerical method based on least squares approximations for computing s...
Let S: [0,1] → [0,1] be a nonsingular transformation such that the corresponding Frobenius–Perron op...
Let S : [0, 1] --\u3e [0, 1] be a mapping and let P : L-1 (0, 1) --\u3e L-1 (0, 1) be the correspond...
We formulate a general convergence theory for the finite dimensional projection approximation of the...
Let S: [0, 1] → [0, 1] be a chaotic map and let f* be a stationary density of the Frobenius-Perron o...
In this paper we prove both the L1-norm and the BV-norm convergence for a piecewise linear least squ...
We construct in this paper the first order and second order piecewise polynomial finite approximatio...
Recent work on positive matrices has resulted in a new matrix method for generating chaotic maps wit...
Using matrix norm techniques, we give a unified convergence analysis of a general projection method ...
We prove that Ulam\u27s piecewise constant approximation algorithm is convergent for computing an ab...
The Inverse Frobenius-Perron problem (IFPP) concerns the creation of discrete chaotic mappings with ...
AbstractIn this paper we survey some recent developments in the numerical analysis of Markov operato...
The statistical study of chaotic dynamical systems has received a great deal of attention in the pas...
Let the Frobenius–Perron operator PS:L1(0,1)→L1(0,1), related to a nonsingular transformation S:[0,1...
Let S:[0,1]→[0,1] be a chaotic map and let P:L1(0,1)→L1(0,1) be the corresponding Frobenius–Perron o...
We propose a piecewise linear numerical method based on least squares approximations for computing s...
Let S: [0,1] → [0,1] be a nonsingular transformation such that the corresponding Frobenius–Perron op...
Let S : [0, 1] --\u3e [0, 1] be a mapping and let P : L-1 (0, 1) --\u3e L-1 (0, 1) be the correspond...
We formulate a general convergence theory for the finite dimensional projection approximation of the...
Let S: [0, 1] → [0, 1] be a chaotic map and let f* be a stationary density of the Frobenius-Perron o...
In this paper we prove both the L1-norm and the BV-norm convergence for a piecewise linear least squ...
We construct in this paper the first order and second order piecewise polynomial finite approximatio...
Recent work on positive matrices has resulted in a new matrix method for generating chaotic maps wit...
Using matrix norm techniques, we give a unified convergence analysis of a general projection method ...
We prove that Ulam\u27s piecewise constant approximation algorithm is convergent for computing an ab...
The Inverse Frobenius-Perron problem (IFPP) concerns the creation of discrete chaotic mappings with ...
AbstractIn this paper we survey some recent developments in the numerical analysis of Markov operato...
The statistical study of chaotic dynamical systems has received a great deal of attention in the pas...
Let the Frobenius–Perron operator PS:L1(0,1)→L1(0,1), related to a nonsingular transformation S:[0,1...