A modification and extension of an algorithm for generalized cell mapping

DOI10.1016/0045-7825(86)90020-4zbMath0595.65075OpenAlexW1964196145MaRDI QIDQ1077890

Edwin Kreuzer, Dieter Bestle

Publication date: 1986

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(86)90020-4

zbMATH Keywords

Poincaré mapschainnonlinear dynamical systemsMarkovcell mappingabsorption probabilities

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Discrete-time control/observation systems (93C55) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)

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Global dynamics of a non-smooth system with elastic and rigid impacts and dry friction ⋮ Using Generalized Cell Mapping to Approximate Invariant Measures on Compact Manifolds ⋮ Chaos in mechanical systems -- a review ⋮ An adaptive method for the approximation of the generalized cell mapping ⋮ Global analysis of nonlinear dynamical systems with fuzzy uncertainties by the cell mapping method

Cites Work

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• A Theory of Cell-to-Cell Mapping Dynamical Systems
• A Generalized Theory of Cell-to-Cell Mapping for Nonlinear Dynamical Systems
• A Method of Analyzing Generalized Cell Mappings