Conley Index Theory with Applications to Cellular Neural Networks

博士 === 國立清華大學 === 數學系 === 89 === This paper investigates some problems of lattice dynamical systems originated from cellular neural networks. Two methods are introdued as tools to study stationary and periodic solutions. In this work, we use dual system method to find stationary solutions and use Co...

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Bibliographic Details
Main Authors: Shyh-Wen Chen, 陳世文
Other Authors: Wen-Wei Lin
Format: Others
Language:zh-TW
Published: 2001
Online Access:http://ndltd.ncl.edu.tw/handle/81751001300609473853
Description
Summary:博士 === 國立清華大學 === 數學系 === 89 === This paper investigates some problems of lattice dynamical systems originated from cellular neural networks. Two methods are introdued as tools to study stationary and periodic solutions. In this work, we use dual system method to find stationary solutions and use Conley index theory to get a sufficient condition of periodic solutions.