dorsal/arxiv
View SchemaPeriodicity of cylindrical linear cellular automata
| Authors | Shin-ichi Tadaki |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9412003 |
| URL | https://arxiv.org/abs/patt-sol/9412003 |
Abstract
Periodicity and relaxation are investigated for the trajectories of the states in cylindrical linear cellular automata. The time evolutions are described with matrices. The eigenvalue analysis is applied to obtain the maximum values of period and relaxation. The translational invariance suppresses the maximum period and relaxation.
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"abstract": "Periodicity and relaxation are investigated for the trajectories of the\nstates in cylindrical linear cellular automata. The time evolutions are\ndescribed with matrices. The eigenvalue analysis is applied to obtain the\nmaximum values of period and relaxation. The translational invariance\nsuppresses the maximum period and relaxation.",
"arxiv_id": "patt-sol/9412003",
"authors": [
"Shin-ichi Tadaki"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"title": "Periodicity of cylindrical linear cellular automata",
"url": "https://arxiv.org/abs/patt-sol/9412003"
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