Title :
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
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;
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
DOI :
10.1109/CNNA.2008.4588684
