A modified interpolated cell mapping (MICM) method is developed for global analysis of deterministic dynamical systems with smooth basin boundaries. By improving the algorithm of the interpolated cell mapping (ICM) and including the idea of sampling mappings of cells from the generalized cell mappin
A modified cell-to-cell mapping method for nonlinear systems
β Scribed by Chou Mo-Hong
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 563 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0898-1221
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β¦ Synopsis
A variant of C. S. Hsu's cell-to-cell mapping method for nonlinear systems is proposed to cope with the situation in which the global analysis is started with a fairly coarse structure of state cells. The analysis is improved through an iterative cell refinement and cell lumping process. The efficacy of our approach is demonstrated by solving the van der Pol equation as well as some equations modeling the enzyme kinetics.
π SIMILAR VOLUMES
The Cell Mapping method is a robust tool for investigating nonlinear dynamic systems. It is capable of finding the attractors and corresponding basins of attraction of a system under investigation. To investigate the applicability of the Cell Mapping method to discontinuous systems, a "forced zero-s