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Dynamical Models of Interrelation in a Class of Artificial Networks

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Differential and Difference Equations with Applications (ICDDEA 2019)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 333))

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.

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References

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Author information

Authors and Affiliations

  1. Institute of Mathematics and Computer Science, University of Latvia, Rainis boul. 29, Riga, Latvia

    Felix Sadyrbaev & Svetlana Atslega

  2. Daugavpils University, Parades street 1, Daugavpils, Latvia

    Eduard Brokan

Authors
  1. Felix Sadyrbaev
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  2. Svetlana Atslega
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  3. Eduard Brokan
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Corresponding author

Correspondence to Felix Sadyrbaev .

Editor information

Editors and Affiliations

  1. Department of Exact Sciences and Engineering, Military Academy, Lisbon, Portugal

    Sandra Pinelas

  2. Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN, USA

    John R. Graef

  3. Mathematik und Didaktik, Katholische Universität Eichstätt, Eichstätt, Bayern, Germany

    Stefan Hilger

  4. Huazhong University of Science and Technology, Wuhan, Hubei, China

    Peter Kloeden

  5. Department of Electrical and Computer Engineering, Democritus University of Thrace, Xanthi, Xanthi, Greece

    Christos Schinas

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Sadyrbaev, F., Atslega, S., Brokan, E. (2020). Dynamical Models of Interrelation in a Class of Artificial Networks. In: Pinelas, S., Graef, J.R., Hilger, S., Kloeden, P., Schinas, C. (eds) Differential and Difference Equations with Applications. ICDDEA 2019. Springer Proceedings in Mathematics & Statistics, vol 333. Springer, Cham. https://doi.org/10.1007/978-3-030-56323-3_18

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