Abstract
Computer simulations of dynamical systems contain discretizations, where finite machine arithmetic replaces continuum state spaces. In some circumstances, complicated theoretical behaviour has a tendency to collapse to either trivial and degenerate behaviour or low order cycles as a result of discretizations. Characteristics of such collapsing effects often seem to depend on the corresponding discretization only in a random way. We describe a procedure to construct a stochastic process with similar statistical characteristics. Results of computer modelling with one and two dimensional systems are discussed.KeywordsInvariant MeasureRandom GraphRandom MappingContinuous LimitSequence VersusThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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