Skip to main content
SpringerLink
Log in

Dynamic random links enhance diversity-induced coherence in strongly coupled neuronal systems

  • Published:
Pramana Aims and scope Submit manuscript

Abstract

We investigate the influence of diversity on the temporal regularity of spiking in a ring of coupled model neurons. We find diversity-induced coherence in the spike events, with an optimal amount of parametric heterogeneity at the nodal level yielding the greatest regularity in the spike train. Further, we investigate the system under random spatial connections, where the links are both dynamic and quenched, and in all the cases we observe marked diversity-induced coherence. We quantitatively find the effect of coupling strength and random rewiring probability, on the optimal coherence that can be achieved under diversity. Our results indicate that the largest coherence in the spike events emerge when the coupling strength is high, and when the underlying connections are mostly random and dynamically changing.

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

Figure 1
Figure 2
Figure 3
Figure 4
Figure 5

Similar content being viewed by others

References

  1. J K Douglass, L A Wilkens, E Pantazelou and F Moss, Nature 365, 337 (1993); Special issue of J. Stat. Phys. 70, 1 (1993) edited by F Moss, A Bulsara and M F Shlesinger H A Braun, H Wissing, K Schäfer and M C Hirsch, Nature 367, 270 (1994) S Kádár, J Wang and K Showalter, Nature 391, 770 (1998) T Wellens, V Shatokhin and A Buchleitner, Rep. Prog. Phys. 67, 45 (2004) K Murali et al, Phys. Rev. Lett. 102, 104101 (2009)

  2. W Horsthemke and R Lefever, Noise-induced transitions (Springer-Verlag, Berlin, 1984) F Sagués, J M Sancho and J García-Ojalvo, Rev. Mod. Phys. 79, 829 (2007)

  3. L Gammaitoni, P Hänggi, P Jung and F Marchesoni, Rev. Mod. Phys. 70, 223 (1998) B Lindner, J García-Ojalvo, A Neiman, L Schimansky-Geier, Phys. Rep. 392, 321 (2004)

  4. D Sigeti and W Horsthemke, J. Stat. Phys. 54, 1217 (1989) G Hu, T Ditzinger, C Z Ning and H Haken, Phys. Rev. Lett. 71, 807 (1993) A S Pikovsky and J Kurths, Phys. Rev. Lett. 78, 775 (1997)

  5. C van den Broeck, J Parrondo and R Toral, Phys. Rev. Lett. 73, 3395 (1994) J García-Ojalvo and J M Sancho, Noise in spatially extended systems (Springer, New York, 1999)

  6. J F Lindner, B K Meadows, W L Ditto, M E Inchiosa and A R Bulsara, Phys. Rev. Lett. 75, 3 (1995); Phys. Rev. E 53, 2081 (1996)

  7. B Hu and C S Zhou, Phys. Rev. E 61, R1001 (2000) C S Zhou and J Kurths and B Hu, Phys. Rev. Lett. 87, 098101 (2001)

  8. R Albert and A-L Barabási, Rev. Mod. Phys. 74, 47 (2002)

  9. D J Watts and S H Strogatz, Nature (London) 393, 440 (1998)

  10. A L Barabási and R Albert, Science 286, 509 (1999)

  11. Z Gao, B Hu and G Hu, Phys. Rev. E 65, 016209 (2001) H Hong, B J Kim and M Y Choi, Phys. Rev. E 66, 011107 (2002) M Perc and M Gosak, New J. Phys. 10, 053008 (2008)

  12. O Kwon and H-T Moon, Phys. Lett. A 298, 319 (2002)

  13. O Kwon, H-H Jo and H-T Moon, Phys. Rev. E 72, 066121 (2005)

  14. J A Acebrón, S Lozano and A Arenas, Phys. Rev. Lett. 99, 128701 (2007)

  15. M Perc, Phys. Rev. E 78, 036105 (2008)

  16. Q Y Wang, Q S Lu and G R Chen, Europhys. Lett. 77, 10004 (2007) D Q Wei and X S Luo, Europhys. Lett. 78, 68004 (2007) Z H Liu and P M Hui, Physica A 383, 714 (2007)

  17. M Shrimali, S Poria and S Sinha, Pramana – J. Phys. 74, 895 (2010)

  18. J F Lindner, B S Prusha and K E Clay, Phys. Lett. A 231, 164 (1997) F Qi, Z H Hou and H W Xin, Phys. Lett. A 308, 405 (2003)

  19. C J Tessone, C R Mirasso, R Toral and J D Gunton, Phys. Rev. Lett. 97, 194101 (2006)

  20. H Chen, J Zhang and J Liu, Physica A 387, 1071 (2008)

  21. M Bazhenov, N F Rulkov, J-M Fellous and I Timofeev, Phys. Rev. E 72, 041903 (2005) R E Amritkar and C-K Hu, Chaos 16, 015117 (2006) A Levina, J M Herrmann and T Geisel, Phys. Rev. Lett. 102, 118110 (2009) M Porfiri Phys. Rev. E 85, 056114 (2012)

  22. A Mondal, S Sinha and J Kurths, Phys. Rev. E 78, 066209 (2008)

  23. A Choudhary, V Kohar and S Sinha, Sci. Rep. (Nature) 4, 4308 (2014)

  24. V Kohar and S Sinha, Chaos, Solitons and Fractals 54, 127 (2013)

  25. M Jiang and P Ma, Chaos 19, 013115 (2009)

  26. V Volman and M Perc, New J. Phys. 12, 043013 (2010)

  27. N F Rulkov, Phys. Rev. E 65, 041922 (2002)

  28. X Pei, L Wilkens and F Moss, Phys. Rev. Lett. 77, 4679 (1996) C Zhou, J Kurths and B Hu, Phys. Rev. Lett. 87, 098101 (2001) Y Shinohara, T Kanamaru, H Suzuki, T Horita and K Aihara, Phys. Rev. E 65, 051906 (2002)

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematical Sciences, CIT Campus, Tharamani, Chennai, 600 113, India

    NEERAJ KUMAR KAMAL

  2. Department of Physics, Central University of Rajasthan, Ajmer, 305 801, India

    NEERAJ KUMAR KAMAL

  3. Indian Institute of Science Education and Research (IISER) Mohali, Knowledge City, SAS Nagar, Sector 81, Manauli, 140 306, India

    SUDESHNA SINHA

Authors
  1. NEERAJ KUMAR KAMAL
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. SUDESHNA SINHA
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to NEERAJ KUMAR KAMAL.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

KAMAL, N.K., SINHA, S. Dynamic random links enhance diversity-induced coherence in strongly coupled neuronal systems. Pramana - J Phys 84, 249–256 (2015). https://doi.org/10.1007/s12043-015-0930-y

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12043-015-0930-y

Keywords

PACS Nos

Search

Navigation