Approximations of Frobenius–Perron operators via interpolation Original Research Article

Let 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.