Basin of attraction of cycles of discretizations of dynamical systems with SRB invariant measures.

DOI10.1007/BF02179655zbMath1081.37510OpenAlexW2022237733MaRDI QIDQ1593444

Anthony Klemm, Alexei V. Pokrovskii, Peter E. Kloeden, Phil Diamond

Publication date: 16 January 2001

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02179655

zbMATH Keywords

collapsechaoscomputationcomputer arithmeticcomputer artifact

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70)

Related Items (10)

Nonuniform random transformations. ⋮ Dynamical properties of spatial discretizations of a generic homeomorphism ⋮ A model for roundoff and collapse in computation of chaotic dynamical systems ⋮ Cramér distance and discretizations of circle expanding maps II: simulations ⋮ Adaptive cellular integration of linearly implicit differential equations ⋮ Feasibility of numerical modelling: Information aspect ⋮ 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 ⋮ Informal Remarks on the Orbit Structure of Discrete Approximations to Chaotic Maps

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Ergodic properties of the Lozi mappings
• The simulation of random processes on digital computers: Unavoidable order
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Measuring the strangeness of strange attractors
• Limit cycles in a quadratic discrete iteration
• Shadowing and iterative interpolation for Čebyšev mixing transformations
• An invariant measure arising in computer simulation of a chaotic dynamical system
• 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
• Epidemic process on a random graph: some preliminary results
• Analysis of an algorithm for computing invariant measures
• Random Mappings with a Single Attracting Center

This page was built for publication: Basin of attraction of cycles of discretizations of dynamical systems with SRB invariant measures.