Estimation of the basin of attractions of stable equilibrium points in CNNs

V.M. Mladenov; D.M.W. Leenaerts

doi:10.1109/CNNA.1998.685331

Estimation of the basin of attractions of stable equilibrium points in CNNs

V.M. Mladenov, D.M.W. Leenaerts

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

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We present an approach to estimate the basin of attraction of stable equilibrium points in cellular neural networks (CNNs). The approach is based on the determination of the so called tree of regions connected with each stable equilibrium points described in our previous work (1997). The new contribution is connected with additional separation of the regions where the boundaries between different basins are located. The suggested separation with internal hyperplanes will help to estimate more precisely the boundaries between different basins, because the previous algorithm to obtain the trees could not give the exact description of the basin of attractions.

Originele taal-2	Engels
Titel	Proceedings Fifth IEEE international Workshop on Cellular Neural Networks and their applications
Plaats van productie	London
Uitgeverij	Institute of Electrical and Electronics Engineers
Pagina's	62-67
Aantal pagina's	6
ISBN van geprinte versie	0-7803-4867-2
DOI's	https://doi.org/10.1109/CNNA.1998.685331
Status	Gepubliceerd - 1998
Evenement	1998 5th IEEE International Workshop on Cellular Neural Networks and Their Applications, CNNA - London, UK Duur: 14 apr. 1998 → 17 apr. 1998

Congres

Congres	1998 5th IEEE International Workshop on Cellular Neural Networks and Their Applications, CNNA
Stad	London, UK
Periode	14/04/98 → 17/04/98
Ander	Proc. Fifth IEEE International Workshop on Cellular Neural Networks and their Applications, London, UK, 14-17 April 1998

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@inproceedings{8f239ee6021344a48b9858bb283d50c5,

title = "Estimation of the basin of attractions of stable equilibrium points in CNNs",

abstract = "We present an approach to estimate the basin of attraction of stable equilibrium points in cellular neural networks (CNNs). The approach is based on the determination of the so called tree of regions connected with each stable equilibrium points described in our previous work (1997). The new contribution is connected with additional separation of the regions where the boundaries between different basins are located. The suggested separation with internal hyperplanes will help to estimate more precisely the boundaries between different basins, because the previous algorithm to obtain the trees could not give the exact description of the basin of attractions.",

author = "V.M. Mladenov and D.M.W. Leenaerts",

year = "1998",

doi = "10.1109/CNNA.1998.685331",

language = "English",

isbn = "0-7803-4867-2",

pages = "62--67",

booktitle = "Proceedings Fifth IEEE international Workshop on Cellular Neural Networks and their applications",

publisher = "Institute of Electrical and Electronics Engineers",

address = "United States",

note = "1998 5th IEEE International Workshop on Cellular Neural Networks and Their Applications, CNNA ; Conference date: 14-04-1998 Through 17-04-1998",

}

Mladenov, VM & Leenaerts, DMW 1998, Estimation of the basin of attractions of stable equilibrium points in CNNs. in Proceedings Fifth IEEE international Workshop on Cellular Neural Networks and their applications. Institute of Electrical and Electronics Engineers, London, blz. 62-67, 1998 5th IEEE International Workshop on Cellular Neural Networks and Their Applications, CNNA, London, UK, 14/04/98. https://doi.org/10.1109/CNNA.1998.685331

Estimation of the basin of attractions of stable equilibrium points in CNNs. / Mladenov, V.M.; Leenaerts, D.M.W.
Proceedings Fifth IEEE international Workshop on Cellular Neural Networks and their applications. London: Institute of Electrical and Electronics Engineers, 1998. blz. 62-67.

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

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AU - Leenaerts, D.M.W.

PY - 1998

Y1 - 1998

N2 - We present an approach to estimate the basin of attraction of stable equilibrium points in cellular neural networks (CNNs). The approach is based on the determination of the so called tree of regions connected with each stable equilibrium points described in our previous work (1997). The new contribution is connected with additional separation of the regions where the boundaries between different basins are located. The suggested separation with internal hyperplanes will help to estimate more precisely the boundaries between different basins, because the previous algorithm to obtain the trees could not give the exact description of the basin of attractions.

AB - We present an approach to estimate the basin of attraction of stable equilibrium points in cellular neural networks (CNNs). The approach is based on the determination of the so called tree of regions connected with each stable equilibrium points described in our previous work (1997). The new contribution is connected with additional separation of the regions where the boundaries between different basins are located. The suggested separation with internal hyperplanes will help to estimate more precisely the boundaries between different basins, because the previous algorithm to obtain the trees could not give the exact description of the basin of attractions.

U2 - 10.1109/CNNA.1998.685331

DO - 10.1109/CNNA.1998.685331

M3 - Conference contribution

SN - 0-7803-4867-2

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EP - 67

BT - Proceedings Fifth IEEE international Workshop on Cellular Neural Networks and their applications

PB - Institute of Electrical and Electronics Engineers

CY - London

T2 - 1998 5th IEEE International Workshop on Cellular Neural Networks and Their Applications, CNNA

Y2 - 14 April 1998 through 17 April 1998

ER -

Estimation of the basin of attractions of stable equilibrium points in CNNs

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