An adaptive method for the approximation of the generalized cell mapping

DOI10.1016/S0960-0779(96)00118-XzbMath0935.37055OpenAlexW2089897697WikidataQ126438278 ScholiaQ126438278MaRDI QIDQ1807525

Edwin Kreuzer, Rabbijah Guder, Michael Dellnitz

Publication date: 9 May 2000

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(96)00118-x

zbMATH Keywords

attractorserror estimatenonlinear dynamical systemsgeneralized cell mapping

Mathematics Subject Classification ID

Coding and information theory (compaction, compression, models of communication, encoding schemes, etc.) (aspects in computer science) (68P30) Computational methods for bifurcation problems in dynamical systems (37M20) Dynamical systems in numerical analysis (37N30)

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Cites Work

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• A modification and extension of an algorithm for generalized cell mapping
• Finite approximation for the Frobenius-Perron operator. A solution to Ulam's conjecture
• Chaos, fractals, and noise: Stochastic aspects of dynamics.
• A Theory of Cell-to-Cell Mapping Dynamical Systems
• GLOBAL ANALYSIS BY CELL MAPPING
• Using Generalized Cell Mapping to Approximate Invariant Measures on Compact Manifolds
• Exploring invariant sets and invariant measures

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