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New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena pp 89–93Cite as

From the Chaos to Quasiregular Patterns

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Part of the book series: NATO ASI Series ((NSSB,volume 237))

Abstract

Phase portraits of dynamical systems produce certain kinds of patterns in their phase space. With help of web mapping it is possible to cover the plane with tiling of arbitrary quasicrystal symmetry. The connection between web-mapping and stationary Beltrami flows is established. New type of flows with quasicrystal symmetry is introduced. These flows have chaotic streamlines which display in real space different paterns with q-fold symmetry. Stochastic web is the region of space which separates the meshes of the pattern and inside of which Lagrangian turbulence of admixed particles is realized.

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References

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Author information

Authors and Affiliations

  1. Space Research Institute, Profsoyuznaya 84/32, Moscow, 117810, USSR

    A. A. Chernikov, R. Z. Sagdeev & G. M. Zaslavsky

Authors
  1. A. A. Chernikov
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  2. R. Z. Sagdeev
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  3. G. M. Zaslavsky
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Editor information

Editors and Affiliations

  1. Université de Nice, Nice, France

    Pierre Coullet

  2. Ecole Polytechnique, Palaiseau, France

    Patrick Huerre

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© 1990 Plenum Press, New York

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Chernikov, A.A., Sagdeev, R.Z., Zaslavsky, G.M. (1990). From the Chaos to Quasiregular Patterns. In: Coullet, P., Huerre, P. (eds) New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena. NATO ASI Series, vol 237. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-7479-4_16

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  • DOI: https://doi.org/10.1007/978-1-4684-7479-4_16

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4684-7481-7

  • Online ISBN: 978-1-4684-7479-4

  • eBook Packages: Springer Book Archive

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