Multidimensional strange attractors and turbulence

著者

• Aranson, I. S.
• Afraĭmovich, V. S.
• Rabinovich, M. I. (Mikhail I.)

書誌事項

Multidimensional strange attractors and turbulence

I.S. Aranson, V.S. Afraimovich, M.I. Rabinovich

（Soviet scientific reviews, sect. C . Mathematical physics reviews ; v. 8, pt. 5）

Harwood Academic Publishers, 1989

タイトル別名

Multi-dimensional strange attractors and turbulence

内容説明・目次

内容説明

Volume 5 in a series which provides up-to-date reports on the progress and status of current research into mathematical physics, particularly for those who do not read Russian. The scenarios of the birth of multidimensional strange attractors and their role in describing turbulence which evolves as the Reynolds number increases are considered. The analytical estimation of the dimensions of strange attractors is studied in detail for models described by differential-difference equations. A renormalization group description is constructed for the evolution of dynamic chaos along the spatial coordinate in point models of "shear turbulence". The conditions under which space-homogeneous chaos is stable with respect to random perturbations in flow systems are found.

目次

• Formulation of the problem
• dimension of the attractor and of the observables
• scenario of the origin of multidimensional attractors
• multidimensional attractors in flow systems
• "order-chaos" transition waves, turbulent spots
• discussion.

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詳細情報

• NII書誌ID(NCID): BA07979433
• ISBN:
  • 3718648687
• 出版国コード: uk
• タイトル言語コード: eng
• 本文言語コード: eng
• 原本言語コード: rus
• 出版地: London
• ページ数/冊数: 293-376 p.
• 大きさ: 22 cm
• 親書誌ID:
  • BA00584313