Discontinuity and Complex Dynamics of Neural Networks

Changsong Zhou; Tianlun Chen

doi:10.1088/0253-6102/30/1/49

Discontinuity and Complex Dynamics of Neural Networks

Changsong Zhou, Tianlun Chen

Department of Physics

Research output: Contribution to journal › Journal article › peer-review

2 Citations (Scopus)

Abstract

We focus on the discontinuity of a neural network model with diluted and clipped synaptic connections (±1 only). The exact evolution rule of the average filing rate becomes a discontinuous piece-wise nonlinear map when very simple functions of dynamical threshold are introduced into the network. Complex dynamics is observed.

Original language	English
Pages (from-to)	49-54
Number of pages	6
Journal	Communications in Theoretical Physics
Volume	30
Issue number	1
DOIs	https://doi.org/10.1088/0253-6102/30/1/49
Publication status	Published - 30 Jul 1998

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Complex dynamics
Neural network

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title = "Discontinuity and Complex Dynamics of Neural Networks",

abstract = "We focus on the discontinuity of a neural network model with diluted and clipped synaptic connections (±1 only). The exact evolution rule of the average filing rate becomes a discontinuous piece-wise nonlinear map when very simple functions of dynamical threshold are introduced into the network. Complex dynamics is observed.",

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Discontinuity and Complex Dynamics of Neural Networks

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