カオスセルオートマトンのダイナミクス

概要

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In this study, a Chaos Cellular Automaton (CCA) is proposed as a generalized model of the Life Game with a nonmonotonous map. The spatio-temporal pattern is generated based on CCA, and the dynamical properties will be analyzed in terms of the Lyapunov spectra and the fractal dimensions of spatial pattern. The results from numerical calculations show that, as the slope of non-monotonous map is varied from infinity to a small value, the dynamics of cells is changed from a periodic state to a weakly chaotic state, and then to a deeply chaotic state, will be returned to a weakly chaotic state, and finally to a periodic state again. The fractal dimension indicates the complexity of spatial patterns. The generation of the chaotic spatio-temporal pattern is found to be realized by this model. Moreover, a weakly chaotic state is considered to be fascinating in analogy to the artificial life model.
長岡技術科学大学の論文
2000-03-29