Skip to main content
SpringerLink
Log in

Probabilistic signatures of spatiotemporal intermittency in the coupled sine circle map lattice

  • Published:
Pramana Aims and scope Submit manuscript

Abstract

The phase diagram of the coupled sine circle map system exhibits a variety of interesting phenomena including spreading regions with spatiotemporal intermittency, non-spreading regions with spatial intermittency, and coherent structures termed solitons. A spreading to non-spreading transition is seen in the system. A cellular automaton version of the coupled system maps the spreading to non-spreading transition to a transition from a probabilistic to a deterministic cellular automaton. The solitonic sector of the system shows spatiotemporal intermittency with soliton creation, propagation and absorption. A probabilistic cellular automaton mapping is set up for this sector which can identify each one of these phenomena.

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. G Pradhan and N Gupte, Int. J. Bifurcation Chaos Appl. Sci. Eng. 11, 2501 (2001)

    Article  Google Scholar 

  2. N Chatterjee and N Gupte, Phys. Rev. E53, 4457 (1996)

    ADS  MathSciNet  Google Scholar 

  3. N Chatterjee and N Gupte, Phys. Rev. E63, 017202 (2000)

    Google Scholar 

  4. T M Janaki, S Sinha and N Gupte, Phy. Rev. E67, 56218 (2003)

  5. Z Jabeen and N Gupte, Phys. Rev. E72, 16202 (2005)

  6. Z Jabeen and N Gupte, Phys. Rev. E74, 16210 (2006)

  7. A Sharma and N Gupte, Phys. Rev. E66, 036210 (2002)

  8. Z Jabeen and N Gupte, Physica A384, 59 (2007)

    ADS  Google Scholar 

  9. H Chaté and P Manneville, Physica D32, 409 (1988)

    ADS  Google Scholar 

  10. P Grassberger and T Schreiber, Physica D50, 177 (1991)

    ADS  MathSciNet  Google Scholar 

  11. T Bohr, M van Hecke, R Mikkelsen and M Ipsen, Phys. Rev. Lett. 86, 5482 (2001)

    Article  ADS  Google Scholar 

  12. S Wolfram, Rev. Mod. Phys. 55, 601 (1983)

    Article  ADS  MathSciNet  Google Scholar 

  13. E Domany and W Kinzel, Phys. Rev. Lett. 53, 311 (1984)

    Article  ADS  MathSciNet  Google Scholar 

  14. G Odor, Rev. Mod. Phys. 76, 663 (2004)

    Article  ADS  MathSciNet  Google Scholar 

  15. G Ódor and N Menyhárd, Phys. Rev. E73, 036130 (2006)

  16. G Qiu, D Kandhai and P M A Sloot, Phys. Rev. E75, 046116 (2007)

    Google Scholar 

  17. K Gao, R Jiang, Shou-Xin Hu, Bing-Hong Wang and Qing-Song Wu, Phys. Rev. E76, 026105 (2007)

    Google Scholar 

  18. M Block, E Schöll and D Drasdo, Phys. Rev. Lett. 99, 248101 (2007)

    Google Scholar 

Download references

Author information

Authors and Affiliations

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

    Zahera Jabeen

  2. Department of Physics, Indian Institute of Technology Madras, Chennai, 600 036, India

    Neelima Gupte

Authors
  1. Zahera Jabeen
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Neelima Gupte
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Neelima Gupte.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Jabeen, Z., Gupte, N. Probabilistic signatures of spatiotemporal intermittency in the coupled sine circle map lattice. Pramana - J Phys 70, 1055–1061 (2008). https://doi.org/10.1007/s12043-008-0110-4

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12043-008-0110-4

Keywords

PACS Nos

Search

Navigation