Sufficient conditions for limit cycles in autonomous antisymmetric two neuron CNNs

Mireia Vinyoles-Serra; Vilasís Cardona Xavier

doi:10.1109/CNNA.2008.4588684

Sufficient conditions for limit cycles in autonomous antisymmetric two neuron CNNs

Mireia Vinyoles-Serra, Vilasís Cardona Xavier

La Salle International School of Commerce and Digital Economy

Research output: Book chapter › Conference contribution › peer-review

1 Citation (Scopus)

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 Poincaré-Bendixon theorem with index theory. Further, the generalisation to the non-symmetric case is discussed.

Original language	English
Title of host publication	2008 11th International Workshop on Cellular Neural Networks and their Applications, CNNA 2008, Cellular Nano-scale Architectures
Pages	236-241
Number of pages	6
DOIs	https://doi.org/10.1109/CNNA.2008.4588684
Publication status	Published - 2008
Event	2008 11th International Workshop on Cellular Neural Networks and their Applications, CNNA 2008, Cellular Nano-scale Architectures - Santiago de Compostela, Spain Duration: 14 Jul 2008 → 16 Jul 2008

Publication series

Name	Proceedings of the IEEE International Workshop on Cellular Neural Networks and their Applications

Conference

Conference	2008 11th International Workshop on Cellular Neural Networks and their Applications, CNNA 2008, Cellular Nano-scale Architectures
Country/Territory	Spain
City	Santiago de Compostela
Period	14/07/08 → 16/07/08

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10.1109/CNNA.2008.4588684

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Vinyoles-Serra, M., & Xavier, V. C. (2008). Sufficient conditions for limit cycles in autonomous antisymmetric two neuron CNNs. In 2008 11th International Workshop on Cellular Neural Networks and their Applications, CNNA 2008, Cellular Nano-scale Architectures (pp. 236-241). Article 4588684 (Proceedings of the IEEE International Workshop on Cellular Neural Networks and their Applications). https://doi.org/10.1109/CNNA.2008.4588684

Vinyoles-Serra, Mireia ; Xavier, Vilasís Cardona. / Sufficient conditions for limit cycles in autonomous antisymmetric two neuron CNNs. 2008 11th International Workshop on Cellular Neural Networks and their Applications, CNNA 2008, Cellular Nano-scale Architectures. 2008. pp. 236-241 (Proceedings of the IEEE International Workshop on Cellular Neural Networks and their Applications).

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title = "Sufficient conditions for limit cycles in autonomous antisymmetric two neuron CNNs",

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 Poincar{\'e}-Bendixon theorem with index theory. Further, the generalisation to the non-symmetric case is discussed.",

author = "Mireia Vinyoles-Serra and Xavier, {Vilas{\'i}s Cardona}",

year = "2008",

doi = "10.1109/CNNA.2008.4588684",

language = "English",

isbn = "9781424420902",

series = "Proceedings of the IEEE International Workshop on Cellular Neural Networks and their Applications",

pages = "236--241",

booktitle = "2008 11th International Workshop on Cellular Neural Networks and their Applications, CNNA 2008, Cellular Nano-scale Architectures",

note = "2008 11th International Workshop on Cellular Neural Networks and their Applications, CNNA 2008, Cellular Nano-scale Architectures ; Conference date: 14-07-2008 Through 16-07-2008",

}

Vinyoles-Serra, M & Xavier, VC 2008, Sufficient conditions for limit cycles in autonomous antisymmetric two neuron CNNs. in 2008 11th International Workshop on Cellular Neural Networks and their Applications, CNNA 2008, Cellular Nano-scale Architectures., 4588684, Proceedings of the IEEE International Workshop on Cellular Neural Networks and their Applications, pp. 236-241, 2008 11th International Workshop on Cellular Neural Networks and their Applications, CNNA 2008, Cellular Nano-scale Architectures, Santiago de Compostela, Spain, 14/07/08. https://doi.org/10.1109/CNNA.2008.4588684

Sufficient conditions for limit cycles in autonomous antisymmetric two neuron CNNs. / Vinyoles-Serra, Mireia; Xavier, Vilasís Cardona.
2008 11th International Workshop on Cellular Neural Networks and their Applications, CNNA 2008, Cellular Nano-scale Architectures. 2008. p. 236-241 4588684 (Proceedings of the IEEE International Workshop on Cellular Neural Networks and their Applications).

Research output: Book chapter › Conference contribution › peer-review

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Vinyoles-Serra M, Xavier VC. Sufficient conditions for limit cycles in autonomous antisymmetric two neuron CNNs. In 2008 11th International Workshop on Cellular Neural Networks and their Applications, CNNA 2008, Cellular Nano-scale Architectures. 2008. p. 236-241. 4588684. (Proceedings of the IEEE International Workshop on Cellular Neural Networks and their Applications). doi: 10.1109/CNNA.2008.4588684

Sufficient conditions for limit cycles in autonomous antisymmetric two neuron CNNs

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