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The study of banded spherulite patterns by coupled logistic map lattice model

Author

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  • Y. Liu
  • Z-Y. Sun
  • L-J. An

Abstract

Banded spherulite patterns are simulated in two dimensions by means of a coupled logistic map lattice model. Both target pattern and spiral pattern which have been proved to be existent experimentally in banded spherulite are obtained by choosing suitable parameters in the model. The simulation results also indicate that the band spacing is decreased with the increase of parameter μ in the logistic map and increased with the increase of the coupling parameter ε, which is quite similar to the results in some experiments. Moreover, the relationship between the parameters and the corresponding patterns is obtained, and the target patterns and spiral patterns are distinguished for a given group of initial values, which may guide the study of banded spherulite. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2008

Suggested Citation

  • Y. Liu & Z-Y. Sun & L-J. An, 2008. "The study of banded spherulite patterns by coupled logistic map lattice model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 62(4), pages 481-484, April.
    • Handle: RePEc:spr:eurphb:v:62:y:2008:i:4:p:481-484
    DOI: 10.1140/epjb/e2008-00179-8
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    Cited by:

    1. Butusov, Denis N. & Karimov, Artur I. & Pyko, Nikita S. & Pyko, Svetlana A. & Bogachev, Mikhail I., 2018. "Discrete chaotic maps obtained by symmetric integration," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 955-970.

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