Response of the two neuron cellular neural network to time dependent inputs

Mireia Vinyoles-Serra, Xavier Vilasís-Cardona

Research output: Book chapterConference contributionpeer-review

Abstract

The two neuron CNN system with piecewise linear activation function and time dependent external inputs is analyzed and the parametric solutions for the trajectories are given. We look then at the particular case in which the CNN has an antisymmetric template and sine external input. For particular parameter values, this example has been found in the literature to have chaotic behavior. We use the trajectories solution to study the sensitivity of the system to initial conditions and the possibility of self-intersecting trajectories. Both results characterize a chance for a chaotic behavior.

Original languageEnglish
Title of host publication2011 20th European Conference on Circuit Theory and Design, ECCTD 2011
Pages222-225
Number of pages4
DOIs
Publication statusPublished - 2011
Event2011 20th European Conference on Circuit Theory and Design, ECCTD 2011 - Linkoping, Sweden
Duration: 29 Aug 201131 Aug 2011

Publication series

Name2011 20th European Conference on Circuit Theory and Design, ECCTD 2011

Conference

Conference2011 20th European Conference on Circuit Theory and Design, ECCTD 2011
Country/TerritorySweden
CityLinkoping
Period29/08/1131/08/11

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