Dynamical Models of Interrelation in a Class of Artificial Networks

Felix Sadyrbaev; Svetlana Atslēga; Eduard Brokan

doi:10.1007/978-3-030-56323-3_18

Dynamical Models of Interrelation in a Class of Artificial Networks

Felix Sadyrbaev^*
, Svetlana Atslēga
, Eduard Brokan

^*Šī darba korespondējošais autors

Latvijas Universitāte

University of Latvia
Daugavpils University

Zinātniskās darbības rezultāts: Nodaļa grāmatā/enciklopēdijā/konferences krājumā › Konferences zinātniskais raksts › Pētniecība › koleģiāli recenzēts

3 Atsauces (Scopus)

Kopsavilkums

The system of ordinary differential equations that models a type of artificial networks is considered. The system consists of a sigmoidal function that depends on linear combinations of the arguments minus the linear part. The linear combinations of the arguments are described by the regulatory matrix W. For the three-dimensional cases, several types of matrices W are considered and the behavior of solutions of the system is analyzed. The attractive sets are constructed for most cases. The illustrative examples are provided. The list of references consists of 12 items.

Oriģinālvaloda	Angļu
Rīkotāja publikācijas nosaukums	Differential and Difference Equations with Applications, ICDDEA 2019
Redaktori	Sandra Pinelas, Sandra Pinelas, John R. Graef, Stefan Hilger, Peter Kloeden, Christos Schinas
Publikācijas vieta	Cham
Izdevējs	Springer Nature Switzerland
Lapas	225-237
Lapu skaits	13
Sējums	333
ISBN (Drukātā versija)	9783030563226
DOIs	https://doi.org/10.1007/978-3-030-56323-3_18
Publikācijas statuss	Publicēts - 2020

Publikāciju sērijas

Nosaukums	Springer Proceedings in Mathematics and Statistics
Sējums	333
ISSN (Drukātā versija)	2194-1009
ISSN (Elektroniskā versija)	2194-1017

OECD Zinātnes nozare

1.1 Matemātika

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Sadyrbaev, F., Atslēga, S., & Brokan, E. (2020). Dynamical Models of Interrelation in a Class of Artificial Networks. (gadā) S. Pinelas, S. Pinelas, J. R. Graef, S. Hilger, P. Kloeden, & C. Schinas (Red.), Differential and Difference Equations with Applications, ICDDEA 2019 (Sēj. 333, lpp. 225-237). (Springer Proceedings in Mathematics and Statistics; Sēj. 333). Springer Nature Switzerland. https://doi.org/10.1007/978-3-030-56323-3_18

Sadyrbaev, Felix ; Atslēga, Svetlana ; Brokan, Eduard. / Dynamical Models of Interrelation in a Class of Artificial Networks. Differential and Difference Equations with Applications, ICDDEA 2019. redaktors / Sandra Pinelas ; Sandra Pinelas ; John R. Graef ; Stefan Hilger ; Peter Kloeden ; Christos Schinas. Sēj. 333 Cham : Springer Nature Switzerland, 2020. lpp. 225-237 (Springer Proceedings in Mathematics and Statistics).

@inproceedings{9cc335c40b1747e181f14d75b6a22247,

title = "Dynamical Models of Interrelation in a Class of Artificial Networks",

abstract = "The system of ordinary differential equations that models a type of artificial networks is considered. The system consists of a sigmoidal function that depends on linear combinations of the arguments minus the linear part. The linear combinations of the arguments are described by the regulatory matrix W. For the three-dimensional cases, several types of matrices W are considered and the behavior of solutions of the system is analyzed. The attractive sets are constructed for most cases. The illustrative examples are provided. The list of references consists of 12 items.",

keywords = "Artificial networks, Attractors, Critical points, Dynamical systems, Gene regulatory networks",

author = "Felix Sadyrbaev and Svetlana Atslēga and Eduard Brokan",

note = "Publisher Copyright: {\textcopyright} 2020, Springer Nature Switzerland AG.",

year = "2020",

doi = "10.1007/978-3-030-56323-3\_18",

language = "English",

isbn = "9783030563226",

volume = "333",

series = "Springer Proceedings in Mathematics and Statistics",

publisher = "Springer Nature Switzerland",

pages = "225--237",

editor = "Sandra Pinelas and Sandra Pinelas and Graef, \{John R.\} and Stefan Hilger and Peter Kloeden and Christos Schinas",

booktitle = "Differential and Difference Equations with Applications, ICDDEA 2019",

}

Sadyrbaev, F, Atslēga, S & Brokan, E 2020, Dynamical Models of Interrelation in a Class of Artificial Networks. (kur) S Pinelas, S Pinelas, JR Graef, S Hilger, P Kloeden & C Schinas (red.), Differential and Difference Equations with Applications, ICDDEA 2019. sēj. 333, Springer Proceedings in Mathematics and Statistics, sēj. 333, Springer Nature Switzerland, Cham, lpp. 225-237. https://doi.org/10.1007/978-3-030-56323-3_18

Dynamical Models of Interrelation in a Class of Artificial Networks. / Sadyrbaev, Felix; Atslēga, Svetlana; Brokan, Eduard.
Differential and Difference Equations with Applications, ICDDEA 2019. red. / Sandra Pinelas; Sandra Pinelas; John R. Graef; Stefan Hilger; Peter Kloeden; Christos Schinas. Sēj. 333 Cham: Springer Nature Switzerland, 2020. lpp. 225-237 (Springer Proceedings in Mathematics and Statistics; Sēj. 333).

Zinātniskās darbības rezultāts: Nodaļa grāmatā/enciklopēdijā/konferences krājumā › Konferences zinātniskais raksts › Pētniecība › koleģiāli recenzēts

TY - GEN

T1 - Dynamical Models of Interrelation in a Class of Artificial Networks

AU - Sadyrbaev, Felix

AU - Atslēga, Svetlana

AU - Brokan, Eduard

PY - 2020

Y1 - 2020

N2 - The system of ordinary differential equations that models a type of artificial networks is considered. The system consists of a sigmoidal function that depends on linear combinations of the arguments minus the linear part. The linear combinations of the arguments are described by the regulatory matrix W. For the three-dimensional cases, several types of matrices W are considered and the behavior of solutions of the system is analyzed. The attractive sets are constructed for most cases. The illustrative examples are provided. The list of references consists of 12 items.

AB - The system of ordinary differential equations that models a type of artificial networks is considered. The system consists of a sigmoidal function that depends on linear combinations of the arguments minus the linear part. The linear combinations of the arguments are described by the regulatory matrix W. For the three-dimensional cases, several types of matrices W are considered and the behavior of solutions of the system is analyzed. The attractive sets are constructed for most cases. The illustrative examples are provided. The list of references consists of 12 items.

KW - Artificial networks

KW - Attractors

KW - Critical points

KW - Dynamical systems

KW - Gene regulatory networks

UR - https://link.springer.com/chapter/10.1007%252F978-3-030-56323-3_18

UR - https://www.scopus.com/pages/publications/85096622019

U2 - 10.1007/978-3-030-56323-3_18

DO - 10.1007/978-3-030-56323-3_18

M3 - Conference paper

SN - 9783030563226

VL - 333

T3 - Springer Proceedings in Mathematics and Statistics

SP - 225

EP - 237

BT - Differential and Difference Equations with Applications, ICDDEA 2019

A2 - Pinelas, Sandra

A2 - Graef, John R.

A2 - Hilger, Stefan

A2 - Kloeden, Peter

A2 - Schinas, Christos

PB - Springer Nature Switzerland

CY - Cham

ER -

Sadyrbaev F, Atslēga S, Brokan E. Dynamical Models of Interrelation in a Class of Artificial Networks. (gadā) Pinelas S, Pinelas S, Graef JR, Hilger S, Kloeden P, Schinas C, redaktori, Differential and Difference Equations with Applications, ICDDEA 2019. Sēj. 333. Cham: Springer Nature Switzerland. 2020. lpp. 225-237. (Springer Proceedings in Mathematics and Statistics). doi: 10.1007/978-3-030-56323-3_18

Dynamical Models of Interrelation in a Class of Artificial Networks

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