Homoclinic and Heteroclinic Orbits of the Three-Cell Cellular Neural Networks

Fan Zou; Axel Katérle; Josef A. Nossek

doi:10.1109/81.251825

Homoclinic and Heteroclinic Orbits of the Three-Cell Cellular Neural Networks

Fan Zou, Axel Katérle, Josef A. Nossek

Chair of Circuit Theory and Signal Processing (2008 — 2021)

Technical University of Munich

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

A strange attractor has been found in a three-cell autonomous cellular neural network by simulation and experiment. It is shown in this paper that the theory of Shil’nikov can be applied for understanding the chaotic behaviors of this system.

Original language	English
Pages (from-to)	843-848
Number of pages	6
Journal	IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
Volume	40
Issue number	11
DOIs	https://doi.org/10.1109/81.251825
State	Published - Nov 1993

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title = "Homoclinic and Heteroclinic Orbits of the Three-Cell Cellular Neural Networks",

abstract = "A strange attractor has been found in a three-cell autonomous cellular neural network by simulation and experiment. It is shown in this paper that the theory of Shil{\textquoteright}nikov can be applied for understanding the chaotic behaviors of this system.",

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year = "1993",

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Homoclinic and Heteroclinic Orbits of the Three-Cell Cellular Neural Networks

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