Some problems in analysis of discretizations of continuous dynamical systems

DOI10.1016/S0362-546X(96)00232-5zbMath0888.39011OpenAlexW2010417039MaRDI QIDQ4374908

Victor S. Kozyakin, N. A. Kuznetsov, Alexei V. Pokrovskii, Igor G. Vladimirov

Publication date: 17 February 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(96)00232-5

zbMATH Keywords

cycle lengthchaotic systemsprobability measuresdiscretizationsrandom mappingscomputer modelingplane rotationscollapsing pointsfirst recurrent moments

Mathematics Subject Classification ID

Topological dynamics (37B99) Iteration theory, iterative and composite equations (39B12) Geometric quantization (53D50)

Related Items (3)

Rotation on the digital plane ⋮ Feasibility of numerical modelling: Information aspect ⋮ Higher-order terms in asymptotic expansion for information loss in quantized random processes

Cites Work

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• Why computers like Lebesgue measure
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• Basin of attraction of cycles of discretizations of dynamical systems with SRB invariant measures.
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• Statistical properties of discretizations of a class of chaotic dynamical systems
• STATISTICAL LAWS FOR COMPUTATIONAL COLLAPSE OF DISCRETIZED CHAOTIC MAPPINGS
• On a simple formula for random mappings and its applications
• Boundedness and Dissipativity of Truncated Rotations on Uniform Planar Lattices
• Random Mappings with a Single Attracting Center

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