Collapsing effects in numerical simulation of a class of chaotic dynamical systems and random mappings with a single attracting centre

DOI10.1016/0167-2789(95)00188-AzbMath0878.60094MaRDI QIDQ1904603

Alexander Vladimirov, Phil Diamond, Peter E. Kloeden, Alexei V. Pokrovskii

Publication date: 1 February 1996

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

computer simulationsstatistical characteristics

Mathematics Subject Classification ID

Special processes (60K99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Low-dimensional dynamical systems (37E99)

Related Items (12)

Nonuniform random transformations. ⋮ Pseudorandom number generator based on the Bernoulli map on cubic algebraic integers ⋮ Dynamical properties of spatial discretizations of a generic homeomorphism ⋮ Statistical properties of discretizations of a class of chaotic dynamical systems ⋮ A model for roundoff and collapse in computation of chaotic dynamical systems ⋮ Cramér distance and discretizations of circle expanding maps II: simulations ⋮ Collapsing of chaos in one dimensional maps ⋮ Feasibility of numerical modelling: Information aspect ⋮ Some problems in analysis of discretizations of continuous dynamical systems ⋮ ON THE DYNAMICAL DEGRADATION OF DIGITAL PIECEWISE LINEAR CHAOTIC MAPS ⋮ BRANCHING PROCESSES AND COMPUTATIONAL COLLAPSE OF DISCRETIZED UNIMODAL MAPPINGS ⋮ Basin of attraction of cycles of discretizations of dynamical systems with SRB invariant measures.

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• Why computers like Lebesgue measure
• Limit cycles in a quadratic discrete iteration
• An invariant measure arising in computer simulation of a chaotic dynamical system
• On a simple formula for random mappings and its applications
• Epidemic process on a random graph: some preliminary results
• Random Mappings with a Single Attracting Center

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