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2011/9/28 鄭昌源教授專題演講

演講者:鄭昌源教授

單 位:國立屏東教育大學應用數學系

日 期:2011年9月28日 PM 14:30

地 點:國立高雄大學理學院408

講 題:Multistability and Chaos in Artificial Neural System

摘 要:

 

A delayed neural network with a valid nonmonotonic activation function is explored. Coexistence of multiple stable equilibria and chaotic dynamics are demonstrated in this discrete dynamical system. Specifically, $2^m$ stable stationary solutions and their basins of attraction are found for a loop with $m$-neurons network. The theory is established by formulating parameter conditions according to a geometric observation. The networks are further confirmed exhibit chaotic dynamics when the magnitudes of inhibitory self-feedback weights are large enough. The scenario is based on building a snap-back repeller and Marotto's theorem.

 

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