Ergodic properties of a method of numerical simulation of chaotic dynamical systems. (English. Russian original) Zbl 0699.58051

Blank, M. L.

Math. Notes 45, No. 4, 267-273 (1989); translation from Mat. Zametki 45, No. 4, 3-12 (1989).

The author studies the influence of the discretization on the spaces under properties of chaotic dynamical systems. For this, he presents a new method of numerical manifolds based on the idea of the introduction of supplementary special stochastic perturbations on “numerical lattice” and investigates ergodic properties on the example of many dimensional piecewise expanding mappings.

Reviewer: N.Papaghiuc

MSC:

37D45	Strange attractors, chaotic dynamics of systems with hyperbolic behavior
37A99	Ergodic theory

Keywords:

chaotic dynamical systems; stochastic perturbations

References:

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