The onset and spatial development of turbulence in flow systems

Igor Aronson, A. V. Gaponov-Grekhov, M. I. Rabinovich

Research output: Contribution to journalArticle

44 Citations (Scopus)

Abstract

The self-generation and development of spatio-temporal chaos-turbulence-in flow systems, in particular in shear hydrodynamical flows, are analysed experimentally and theoretically. We construct chain models of such systems and use them for the investigation of the spatial bifurcations preceding the appearance of chaos (period doubling downstream, transition via quasiperiodicity, and so on). We give the renormalization group description of the complication of dynamics along the chain and study the "order-chaos" transition waves. The concepts of convective and absolute development of chaos in space are introduced for flow systems. The prospects of future investigations are discussed.

Original languageEnglish (US)
Pages (from-to)1-20
Number of pages20
JournalPhysica D: Nonlinear Phenomena
Volume33
Issue number1-3
DOIs
StatePublished - Jan 1 1988

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chaos
turbulence
period doubling
shear flow

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics

Cite this

Aronson, Igor ; Gaponov-Grekhov, A. V. ; Rabinovich, M. I. / The onset and spatial development of turbulence in flow systems. In: Physica D: Nonlinear Phenomena. 1988 ; Vol. 33, No. 1-3. pp. 1-20.
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The onset and spatial development of turbulence in flow systems. / Aronson, Igor; Gaponov-Grekhov, A. V.; Rabinovich, M. I.

In: Physica D: Nonlinear Phenomena, Vol. 33, No. 1-3, 01.01.1988, p. 1-20.

Research output: Contribution to journalArticle

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