1996 Fiscal Year Final Research Report Summary
Energy Functions for Multi-Component Systems
| Project/Area Number |
07680417
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Intelligent informatics
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| Research Institution | Ryukoku Univ. |
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Principal Investigator |
KOBUCHI Youichi Ryukoku Univ.Faculty of Science and Technology Professor, 理工学部, 教授 (60025450)
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| Project Period (FY) |
1995 – 1996
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| Keywords | Logic Network / Higher-order NN / Lyapunov Function / Order Relation / Pure Energy Function / Symmetry / Complate Lattice |
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| Research Abstract |
A logic network is a network of binary logic functions, which may be expressed as a higher-order neural network. We consider asynchronous operation mode a characterize stable networks through corresponding Lyapunov functions.We first treat a typical type of stable logic networks (called pure) and give their characterization. This is related with symmetry of the networks. Then we define a partial order on the set of logic networks and reveal some basic properties of stable logic networks in this lattice structure. That is, purely stable logic network is a maximal element of the set of stable logic networks, and a logic network M is stable if and only if there exists a purely stable logic network L such that L is greater than or equal to M under the above mentioned order.
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