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Control of an Adaptive Refinement Technique of Generalized Cell Mapping by System Dynamics

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Abstract

Generalized cell mapping is an efficient and powerful numerical tool for the prediction of the long-term behavior and global analysis of nonlinear dynamic systems. The only drawback of this method is the enormous computational effort it requires for high-dimensional systems. We overcome this problem by adaptively refining a very rough starting cell grid, where the adaptation is controlled by the long-term dynamics of the system. We illustrate the efficiency of our approach by examples.

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Authors and Affiliations

  1. Arbeitsbereich Meerestechnik II, Technische Universität Hamburg-Harburg, Eissendorfer Str. 42, D-21073, Hamburg, Germany

    Rabbijah Guder & Edwin Kreuzer

Authors
  1. Rabbijah Guder
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  2. Edwin Kreuzer
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Guder, R., Kreuzer, E. Control of an Adaptive Refinement Technique of Generalized Cell Mapping by System Dynamics. Nonlinear Dynamics 20, 21–32 (1999). https://doi.org/10.1023/A:1008352418599

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