Presentation | 2011-10-20 Analysis of Cascade Process in One-dimensional Cellular Automata Shigeru NINAGAWA, |
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Abstract(in Japanese) | (See Japanese page) |
Abstract(in English) | Elementary (one-dimensional two-state three-neighbor) additive cellular automaton rule 60 can solve the parity problem in periodic boundary conditions with array size 2^n. The spectral analysis of the behavior of the cellular automaton reveals that spatial periodicity emerges as the evolution proceeds and the pattern with longer period splits into the one with shorter period. This phenomenon is analogous to the cascade process in which a larger vortex splits into a smaller vortex in turbulence. In this article we studied the behavior of the cellular automaton by using the information theoritic measures. As a result, we found the the scenario in which the computing process does not seem to proceed from the initial configuration but in getting near to the solution, the configuration changes abruptly and reach the solution. |
Keyword(in Japanese) | (See Japanese page) |
Keyword(in English) | Cellular Automaton / Parity Problem / Cascade Process |
Paper # | CAS2011-37,NLP2011-64 |
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Conference Information | |
Committee | CAS |
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Conference Date | 2011/10/13(1days) |
Place (in Japanese) | (See Japanese page) |
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Paper Information | |
Registration To | Circuits and Systems (CAS) |
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Language | JPN |
Title (in Japanese) | (See Japanese page) |
Sub Title (in Japanese) | (See Japanese page) |
Title (in English) | Analysis of Cascade Process in One-dimensional Cellular Automata |
Sub Title (in English) | |
Keyword(1) | Cellular Automaton |
Keyword(2) | Parity Problem |
Keyword(3) | Cascade Process |
1st Author's Name | Shigeru NINAGAWA |
1st Author's Affiliation | Division of Information and Computer Science, Kanazawa Institute of Technology() |
Date | 2011-10-20 |
Paper # | CAS2011-37,NLP2011-64 |
Volume (vol) | vol.111 |
Number (no) | 242 |
Page | pp.pp.- |
#Pages | 5 |
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