Skip to main content
SpringerLink
Log in

The mean complexities in the regimes of dynamical networks with full oscillations binding

  • Regular Article
  • Published:
The European Physical Journal Special Topics Aims and scope Submit manuscript

Abstract

We continue to apply the notion of mean complexities to study dynamical networks. We show that the mean complexities can help to single out the nodes with similar features (and dynamical behavior) and to reveal some properties of the topology of the networks. We found that the nodes with the same degree (number of connections) have equal values of the mean complexities in the regime of full binding. At the same time, the mean complexities of nodes with different degree follow a descending order with respect to the degree.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. R. Albert, A.L. Barabasi, Rev. Mod. Phys. 74, 47 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  2. M.E.J. Newman, SIAM Rev. 45, 167 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  3. S. Boccaletti, V. Latora, Y. Moreno, M. Chavez, D.U. Hwang, Phys. Rep. 424, 175 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  4. M.E.J. Newman, A.L. Barabasi, D.J. Watts, The Structure and Dynamics of Networks (Princeton University Press, Princeton, 2006)

  5. E. Prisner, Graph Dynamics (CRC Press, Boca Raton, FL, 1995)

  6. O.V. Maslennikov, V.I. Nekorkin, Phys. Usp. 60, 694 (2017)

    Article  ADS  Google Scholar 

  7. V. Afraimovich, A. Dmitrichev, D. Shchapin, V. Nekorkin, Commun. Nonlinear Sci. Numer. Simul. 55, 166 (2018)

    Article  ADS  MathSciNet  Google Scholar 

  8. V.S. Afraimovich, L.A. Bunimovich, S.V. Moreno, Regul. Chaotic Dyn. 15, 127 (2010)

    Article  ADS  MathSciNet  Google Scholar 

  9. V.S. Afraimovich, L.A. Bunimovich, Nonlinearity 20, 1761 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  10. V. Afraimovich, G.M. Zaslavsky, Chaos 18, 519 (2003)

    Article  ADS  Google Scholar 

  11. X. Leoncini, Hamiltonian chaos and anomalous transport in two dimensional flows, in Hamiltonian chaos beyond the KAM theory: dedicated to George M. Zaslavsky, edited by C.J. Luo Albert, V. Afraimovich (Springer-Verlag, Berlin, Heidelberg, 2011), pp. 143–192

  12. V. Afraimovich, R. Rechtman, Commun. Nonlinear Sci. Num. Simul. 14, 1454 (2009)

    Article  Google Scholar 

  13. V.I. Nekorkin, L.V. Vdovin, Prikl. Nelin. Dina. 15, 36 (2007) (in Russian)

    Google Scholar 

  14. M. Courbage, V.I. Nekorkin, L.V. Vdovin, Chaos 17, 043109 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  15. M. Courbage, V.I. Nekorkin, Int. J. Bifurc. Chaos 20, 1631 (2010)

    Article  Google Scholar 

  16. O.V. Maslennikov, V.I. Nekorkin, Chaos 26, 073104 (2016)

    Article  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Instituto de Investigacion en Comunicacion Optica, Universidad Autonoma de San Luis Potosi, Karakorum 1470, Lomas 4a, San Luis Potosi, 78220, Mexico

    Valentin Afraimovich

  2. Institute of Applied Physics RAS, 46 Ul’yanov Street, 603950, Nizhny Novgorod, Russia

    Valentin Afraimovich, Aleksei Dmitrichev, Dmitry Shchapin & Vladimir Nekorkin

Authors
  1. Valentin Afraimovich
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Aleksei Dmitrichev
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Dmitry Shchapin
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Vladimir Nekorkin
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Aleksei Dmitrichev.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Afraimovich, V., Dmitrichev, A., Shchapin, D. et al. The mean complexities in the regimes of dynamical networks with full oscillations binding. Eur. Phys. J. Spec. Top. 227, 1231–1241 (2018). https://doi.org/10.1140/epjst/e2018-800097-5

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjst/e2018-800097-5

Search

Navigation