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International Conference on Computational Science

ICCS 2019: Computational Science – ICCS 2019 pp 262–275Cite as

Synchronization Under Control in Complex Networks for a Panic Model

Part of the Lecture Notes in Computer Science book series (LNTCS,volume 11537)

Abstract

After a sudden catastrophic event occurring in a population of individuals, panic can spread, persist and become more problematic than the catastrophe itself. In this paper, we explore through a computational approach the possibility to control the panic level in complex networks built with a recent behavioral model. After stating a rigorous theoretical framework, we propose a numerical investigation in order to establish the effect of the topology of the network on this control process, with randomly generated networks, and we compare the panic level for two distinct topology sets on a given network.

Keywords

  • Optimal control
  • Numerical computation
  • Dynamical system
  • Complex network
  • Synchronization
  • Panic

This work has been supported by the French government, through the National Research Agency (ANR) under the Societal Challenge 9 “Freedom and security of Europe, its citizens and resident” with the reference number ANR-17-CE39-0008, and the UCA-JEDI Investments in the Future project managed by the National Research Agency (ANR) with the reference number ANR-15-IDEX-01.

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  • DOI: 10.1007/978-3-030-22741-8_19
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Author information

Authors and Affiliations

  1. Laboratoire de Mathématiques Appliquées du Havre, Normandie Univ, FR CNRS 3335, ISCN, 76600, Le Havre, France

    Guillaume Cantin, Nathalie Verdière & Valentina Lanza

Authors
  1. Guillaume Cantin
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  2. Nathalie Verdière
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  3. Valentina Lanza
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Corresponding author

Correspondence to Guillaume Cantin .

Editor information

Editors and Affiliations

  1. University of Algarve, Faro, Portugal

    Dr. João M. F. Rodrigues

  2. University of Algarve, Faro, Portugal

    Dr. Pedro J. S. Cardoso

  3. University of Algarve, Faro, Portugal

    Dr. Jânio Monteiro

  4. University of Algarve, Faro, Portugal

    Prof. Roberto Lam

  5. University of Amsterdam, Amsterdam, The Netherlands

    Dr. Valeria V. Krzhizhanovskaya

  6. University of Amsterdam, Amsterdam, The Netherlands

    Michael H. Lees

  7. University of Tennessee at Knoxville, Knoxville, TN, USA

    Jack J. Dongarra

  8. University of Amsterdam, Amsterdam, The Netherlands

    Peter M.A. Sloot

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Cantin, G., Verdière, N., Lanza, V. (2019). Synchronization Under Control in Complex Networks for a Panic Model. In: , et al. Computational Science – ICCS 2019. ICCS 2019. Lecture Notes in Computer Science(), vol 11537. Springer, Cham. https://doi.org/10.1007/978-3-030-22741-8_19

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  • DOI: https://doi.org/10.1007/978-3-030-22741-8_19

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  • Publisher Name: Springer, Cham

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  • Online ISBN: 978-3-030-22741-8

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