Statistical properties of discretizations of a class of chaotic dynamical systems

DOI10.1016/0898-1221(96)00065-XzbMath0854.34043OpenAlexW2074547555WikidataQ126566525 ScholiaQ126566525MaRDI QIDQ1921248

Yanyan Li

Publication date: 22 January 1997

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(96)00065-x

zbMATH Keywords

chaosdiscretizationscomputer simulations of dynamical systems

Mathematics Subject Classification ID

Complex behavior and chaotic systems of ordinary differential equations (34C28) Dynamical systems and ergodic theory (37-XX)

Related Items (7)

Nonuniform random transformations. ⋮ Dynamical properties of spatial discretizations of a generic homeomorphism ⋮ Cramér distance and discretizations of circle expanding maps II: simulations ⋮ Collapsing of chaos in one dimensional maps ⋮ Some problems in analysis of discretizations of continuous dynamical systems ⋮ Asymptotic Independence and Uniform Distribution of Quantization Errors for Spatially Discretized Dynamical Systems ⋮ BRANCHING PROCESSES AND COMPUTATIONAL COLLAPSE OF DISCRETIZED UNIMODAL MAPPINGS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Why computers like Lebesgue measure
• Limit cycles in a quadratic discrete iteration
• The dynamics of density dependent population models
• Effects of phase space discretization on the long-time behavior of dynamical systems
• Collapsing effects in numerical simulation of a class of chaotic dynamical systems and random mappings with a single attracting centre
• Algorithms and Randomness
• On a simple formula for random mappings and its applications
• Random Mappings with a Single Attracting Center

This page was built for publication: Statistical properties of discretizations of a class of chaotic dynamical systems