Skip to main content
Log in

On CML model for study of spatiotemporal chaos

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

A new coupled map lattic (CML) model is given by using some stability analysis for the related difference equations. Numerical results show that the new model is an effective one of studying spatiotemporal chaos, especially for strongly coupled systems.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Berlin, Hao,Chaos, World Scientific, Singapore (1987).

    Google Scholar 

  2. Kaneko, K., Pattern dynamics in spatiotemporal chaos,Physica,D34 (1989), 1–41.

    MATH  MathSciNet  Google Scholar 

  3. Crutchfield, J. P. and K. Kaneko, Phenomenology of spatiotemporal chaos,Directions in Chaos, World Scientific, Singapore (1987).

    Google Scholar 

  4. Kaneko, K., Clustering, coding switching, hierarchical ordering, and control in a network of chaotic elements,Physica,D41 (1990), 137–172.

    MATH  MathSciNet  Google Scholar 

  5. Livi, R., G. Mortinez-Mekler and S. Ruffo, Periodic orbit and long transients in coupled map lattices,Physica,D 45 (1990), 452–460.

    MATH  Google Scholar 

  6. Aranson, I. S., V. S. Afraimovich and M. I., Rabinovich, Stability of spatially homogeneous chaotic regimes in unidirectional chains,Nonlinearity 3, 3 (1990), 639–651.

    Article  MATH  MathSciNet  Google Scholar 

  7. Volevoch, V. L., Kinetics of coupled map lattices,Nonlinearity,4, 1 (1991), 37–48.

    Article  MathSciNet  Google Scholar 

  8. Feng Kang,The Methods in Numerical Computation, Defence Industry Press (1979). (in Chinese)

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by Chien Wei-zang

Project supported by the National Natural Science Foundation of China

Rights and permissions

Reprints and permissions

About this article

Cite this article

Xin, H., Zeng-rong, L. & Hui-min, X. On CML model for study of spatiotemporal chaos. Appl Math Mech 14, 971–980 (1993). https://doi.org/10.1007/BF02451711

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02451711

Key words

Navigation