Sufficient conditions for limit cycles in autonomous antisymmetric two neuron CNNs

Author

Vinyoles-Serra, Mireia ; Vilasís-Cardona, Xavier

Author_Institution

Eng. i Arquitectura La Salle, Univ. Ramon Llull, Barcelona

fYear

2008

fDate

14-16 July 2008

Firstpage

236

Lastpage

241

Abstract

This paper gives necessary and sufficient conditions for the existence of limit cycles for an autonomous antisymmetric cellular neural network. The method combines the key arguments of the Poincare-Bendixon theorem with index theory. Further, the generalisation to the non-symmetric case is discussed.

Keywords

cellular neural nets; generalisation (artificial intelligence); limit cycles; Poincare-Bendixon theorem; autonomous antisymmetric cellular neural network; generalisation; index theory; limit cycles; Cellular neural networks; Chaos; Cloning; Differential equations; Limit-cycles; Linear systems; Neurons; Piecewise linear techniques; Stability analysis; Sufficient conditions;

fLanguage

English

Publisher

ieee

Conference_Titel

Cellular Neural Networks and Their Applications, 2008. CNNA 2008. 11th International Workshop on

Conference_Location

Santiago de Compostela

Print_ISBN

978-1-4244-2089-6

Electronic_ISBN

978-1-4244-2090-2

Type

conf

DOI

10.1109/CNNA.2008.4588684

Filename

4588684

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2416058