Computing the invariant measure and the Lyapunov exponent for one-dimensional maps using a measure-preserving polynomial basis
نویسندگان
چکیده
منابع مشابه
Computing the invariant measure and the Lyapunov exponent for one-dimensional maps using a measure-preserving polynomial basis
We consider a generalisation of Ulam’s method for approximating invariant densities of one-dimensional maps. Rather than use piecewise constant polynomials to approximate the density, we use polynomials of degree n which are defined by the requirement that they preserve the measure on n+1 neighbouring subintervals. Over the whole interval, this results in a discontinuous piecewise polynomial ap...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 2013
ISSN: 0025-5718,1088-6842
DOI: 10.1090/s0025-5718-2013-02811-6