Spatio-temporal patterns in cellular neural networks

Patrick Thiran; Gianluca Setti; Kenneth R. Crounse

Spatio-temporal patterns in cellular neural networks

Patrick Thiran, Gianluca Setti, Kenneth R. Crounse

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

In this paper, we study the patterns that can be generated in Cellular Neural Networks. In particular, we consider first 1-dim. arrays with nearest neighbor coupling and periodic boundary conditions and show that an exponential number of equilibria exists, when the template is close to symmetric, but not when the template is close to antisymmetric: in this case periodic solutions are present. Finally we focus on the dynamics of pattern formation in 2-dim. arrays with symmetric template.

Original language	English (US)
Title of host publication	Proceedings - IEEE International Symposium on Circuits and Systems
Publisher	IEEEPiscataway, NJ, United States
Pages	142-145
Number of pages	4
State	Published - Jan 1 1996
Externally published	Yes

Cite this

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title = "Spatio-temporal patterns in cellular neural networks",

abstract = "In this paper, we study the patterns that can be generated in Cellular Neural Networks. In particular, we consider first 1-dim. arrays with nearest neighbor coupling and periodic boundary conditions and show that an exponential number of equilibria exists, when the template is close to symmetric, but not when the template is close to antisymmetric: in this case periodic solutions are present. Finally we focus on the dynamics of pattern formation in 2-dim. arrays with symmetric template.",

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N2 - In this paper, we study the patterns that can be generated in Cellular Neural Networks. In particular, we consider first 1-dim. arrays with nearest neighbor coupling and periodic boundary conditions and show that an exponential number of equilibria exists, when the template is close to symmetric, but not when the template is close to antisymmetric: in this case periodic solutions are present. Finally we focus on the dynamics of pattern formation in 2-dim. arrays with symmetric template.

AB - In this paper, we study the patterns that can be generated in Cellular Neural Networks. In particular, we consider first 1-dim. arrays with nearest neighbor coupling and periodic boundary conditions and show that an exponential number of equilibria exists, when the template is close to symmetric, but not when the template is close to antisymmetric: in this case periodic solutions are present. Finally we focus on the dynamics of pattern formation in 2-dim. arrays with symmetric template.

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M3 - Conference contribution

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EP - 145

BT - Proceedings - IEEE International Symposium on Circuits and Systems

PB - IEEEPiscataway, NJ, United States

ER -

Spatio-temporal patterns in cellular neural networks

Abstract

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