Cellular non-deterministic automata and partial differential equations
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- 作者：D. Kohlera ; b ; dominic.kohler@mytum.de" class="auth_mail" title="E-mail the corresponding author ; J. Mü ; llera ; c ; johannes.mueller@mytum.de" class="auth_mail" title="E-mail the corresponding author ; U. Weverb ; utz.wever@siemens.com" class="auth_mail" title="E-mail the corresponding author
- 关键词：Cellular automata ; Partial differential equations ; Asymptotic dynamics ; de Bruijn states ; Fisher&ndash ; KPP equation
- 刊名：Physica D: Nonlinear Phenomena
- 出版年：2015
- 出版时间：1 September 2015
- 年：2015
- 卷：311-312
- 期：Complete
- 页码：1-16
- 全文大小：749 K
文摘
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Cellular non-deterministic automata (CNDA) extend the concept of cellular automata.
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CNDA are defined in the spirit of non-deterministic automata theory.
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The dynamical behavior of a CNDA can be analyzed with deterministic superautomata.
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A CNDA can be embedded in a deterministic cellular automaton.
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CNDA can be used to approximate dynamics of certain partial differential equations.