Моделі клітинних автоматів з комплекснозначними функціями переходу
The new class of mathematical models for computation theory is considered — namely cellular automata (CA) with branching complex-valued transition functions. The key point is possible multivaluedness of cell’s states with such transition functions. Different cases with complex-value transition funct...
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| Datum: | 2020 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
The National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute"
2020
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| Schlagworte: | |
| Online Zugang: | http://journal.iasa.kpi.ua/article/view/228540 |
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| Назва журналу: | System research and information technologies |
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System research and information technologies| Zusammenfassung: | The new class of mathematical models for computation theory is considered — namely cellular automata (CA) with branching complex-valued transition functions. The key point is possible multivaluedness of cell’s states with such transition functions. Different cases with complex-value transition functions had been considered. Dynamics CA on one branch and on different isolated branches are described. Also the case of transitions of states between branches is proposed. The case of continuous-valued CA and their finite-valued approximations are discussed. The problem of approximation of multivalued CA is stated. |
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