Collapsing of chaos in one dimensional maps

DOI10.1016/S0167-2789(99)00147-5zbMath0969.37037OpenAlexW2127531902WikidataQ126458601 ScholiaQ126458601MaRDI QIDQ1961654

James A. Yorke, Guocheng Yuan

Publication date: 25 September 2001

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

Full work available at URL: https://doi.org/10.1016/s0167-2789(99)00147-5

zbMATH Keywords

Schwarzian derivativecollapsingnatural measurefixed precision arithmetic

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Simulation of dynamical systems (37M05) Dynamical systems involving maps of the interval (37E05)

Related Items (8)

On the risks of using double precision in numerical simulations of spatio-temporal chaos ⋮ DEFINITION AND APPLICATIONS OF THE ASCENT-PROBABILITY DISTRIBUTION IN ONE-DIMENSIONAL MAPS ⋮ Pseudorandom number generator based on the Bernoulli map on cubic algebraic integers ⋮ Search for invariant sets of the generalized tent map ⋮ When good theories make bad predictions ⋮ The Challenging Problem of Industrial Applications of Multicore-Generated Iterates of Nonlinear Mappings ⋮ Physical limit of prediction for chaotic motion of three-body problem ⋮ BRANCHING PROCESSES AND COMPUTATIONAL COLLAPSE OF DISCRETIZED UNIMODAL MAPPINGS

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