Ideal turbulence as a kind of distributed chaos: brief essay

  • O. Romanenko Institute of Mathematics of the National Academy of Sciences of Ukraine, Kyiv
  • A. Akbergenov Institute of Mathematics of the National Academy of Sciences of Ukraine, Kyiv
Keywords: dynamical system, distributed chaos, one-dimensional map, boundary value problem

Abstract

UDC 517.9+519.14

We outline the key points of the concept of ideal turbulence  offering novel scenarios for distributed chaos, which are based not on the geometric-dynamical complexity of the attractor but on the extremely complex spatial structure of elements of the attractor.  Ideal turbulence is observed in idealized (neglecting internal resistance) models of various processes related to electromagnetic or sound oscillations.  This idealization significantly simplifies the analysis and, at the same time, in many cases, provides a quite adequate description of real processes.

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Published
02.01.2024
How to Cite
Romanenko, O., and A. Akbergenov. “Ideal Turbulence As a Kind of Distributed Chaos: Brief Essay”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 75, no. 12, Jan. 2024, pp. 1652 -65, doi:10.3842/umzh.v75i12.7591.
Section
Research articles