Skip to main content
SpringerLink
Log in

Universality in globally coupled maps and flows

  • Original Article
  • Published:
Artificial Life and Robotics Aims and scope Submit manuscript

Abstract

We show that universality in chaotic elements can be lifted to that in complex systems. We construct a globally coupled Flow lattice (GCFL), an analog of GCML of Maps. We find that Duffing GCFL shows the same behavior with GCML; population ratio between synchronizing clusters acts as a bifurcation parameter. Lorenz GCFL exhibits interesting two quasiclusters in an opposite phase motion. Each of them looks like Will o’ the wisp; they dance around in opposite phase.

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. Cvitanović P (1996) Universality in Chaos, 2nd edition, Institute of Physics Publishing, Bristol and Philadelphia

    Google Scholar 

  2. Pikovsky AS, Kurths J (1994) Phys Rev Lett 72:1644–1646

    Article  Google Scholar 

  3. Kaneko K (1989) Phys Rev Lett 63:219–223

    Article  MathSciNet  Google Scholar 

  4. Shimada T, Kikuchi K (2000) Phys Rev E62:3489–3503

    Google Scholar 

  5. Fujigaki H, Nishi M, Shimada T (1996) Phys Rev E53:3192–3197; Fujigaki H, Shimada T (1997) Phys Rev E55:2426–2433

    Google Scholar 

  6. Feigenbaum MJ (1980) Los Alamos Science 1:4–9

    MathSciNet  Google Scholar 

  7. An early work is reported in TShimada (1998) IEICE technical report, Nonlinear problems, 97(591):71–79

  8. Shimada T, Tsukada S (2001) Proc of the 6th Int Symp on Artificial Life and Robotics (AROB 6) vol. 1, pp 242–245

    Google Scholar 

  9. Shibata T, Kaneko K (1998) Physica D 124:177–200

    Article  MATH  Google Scholar 

  10. Perez G, Cerdeira HA (1992) Phys Rev A46:7492–7497

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, School of Science and Technology, Meiji University, 1-1-1 Higashimita, Tama-ku, Kawasaki, Kanagawa, 214-8571, Japan

    Takanobu Moriya & Tokuzo Shimada

  2. Future Creation Laboratory, Olympus Corporation, Shinjuku Monolith, 2-3-1 Nishi Shinjuku, Shinjuku-ku, Tokyo, 163-0914, Japan

    Hayato Fujigaki

Authors
  1. Takanobu Moriya
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Tokuzo Shimada
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Hayato Fujigaki
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Tokuzo Shimada.

Additional information

This work was presented in part at the 13th International Symposium on Artificial Life and Robotics, Oita, Japan, January 31–February 2, 2008

About this article

Cite this article

Moriya, T., Shimada, T. & Fujigaki, H. Universality in globally coupled maps and flows. Artif Life Robotics 13, 214–217 (2008). https://doi.org/10.1007/s10015-008-0576-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10015-008-0576-7

Key words

Search

Navigation