论文信息 - A method of point mapping under cell reference for global analysis of nonlinear dynamical systems

A method of point mapping under cell reference for global analysis of nonlinear dynamical systems

Abstract In this paper a criterion for preserving the system characteristics for numerical global analysis is introduced. By setting a cell coordinate in state space as a reference, a method of point mapping with this criterion can be implemented efficiently, which preserves system accuracy while reducing a lot the computation.

Jun Jiang | Jun Jiang | Jianxue Xu | Jian-xue Xu

[1] R. S. Guttalu,et al. A Method of Analyzing Generalized Cell Mappings , 1982 .

[2] C. Hsu,et al. An Unravelling Algorithm for Global Analysis of Dynamical Systems: An Application of Cell-to-Cell Mappings , 1980 .

[3] C. Hsu. A theory of cell-to-cell mapping dynamical systems , 1980 .

[4] Benson H. Tongue,et al. Interpolated Cell Mapping of Dynamical Systems , 1988 .

[5] C. Hsu,et al. A Probabilistic Theory of Nonlinear Dynamical Systems Based on the Cell State Space Concept , 1982 .

[6] J. Yorke,et al. Fractal basin boundaries , 1985 .

[7] B. H. Tongue,et al. On obtaining global nonlinear system characteristics through interpolated cell mapping , 1987 .