$1000 SNOOK PRIZES FOR 2021 : The Information Dimensions of a Two-Dimensional Baker Map

• Autorzy: Hoover Wm. G. , Hoover C. G.

Identyfikatory

DOI

10.12921/cmst.2021.0000021

• Języki publikacji: EN

Abstrakty

EN

The fractal information dimension can be computed in three ways: (1) mapping points, (2) mapping regions (two-dimensional areas here), and (3) applying the Kaplan-Yorke conjecture. For the simplest nonequilibrium Baker N2 Map these three approaches can give different results. A pedagogical exploration and explanation of this situation is the 2021 Ian Snook Prize Problem.

Słowa kluczowe

EN

fractals; maps; differential equations; molecular dynamics; Snook Prize

• Wydawca: Institute of Bioorganic Chemistry Scientific Publishers OWN, Polish Academy of Sciences
• Czasopismo: Computational Methods in Science and Technology
• Rocznik: 2021
• Tom: Vol. 27, No. 2
• Strony: 93--94
• Opis fizyczny: Bibliogr. 2 poz., rys.

Twórcy

autor

Hoover Wm. G.

• Ruby Valley Research Institute 601 Highway Contract 60 Ruby Valley, Nevada 89833, USA

autor

Hoover C. G.

• Ruby Valley Research Institute 601 Highway Contract 60 Ruby Valley, Nevada 89833, USA

Bibliografia

• [1] W.G. Hoover, C.G. Hoover, 2020 Ian Snook Prize Problem: Three Routes to the Information Dimensions for OneDimensional Stochastic Random Walks and Their Equivalent Two-Dimensional Baker Maps, Computational Methods in Science and Technology 25, 153–159 (2019).
• [2] W.G. Hoover, C.G. Hoover, Nonequilibrium Molecular Dynamics, Fractal Phase-Space Distributions, the Cantor Set, and Puzzles Involving Information Dimensions for Two Compressible Baker Maps, Regular and Chaotic Dynamics 25, 412–423 (2020).

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).