Bifurcations to local and global modes in spatially developing flows

J. M. Chomaz; P. Huerre; L. G. Redekopp

doi:10.1103/PhysRevLett.60.25

Bifurcations to local and global modes in spatially developing flows

J. M. Chomaz
, P. Huerre
, L. G. Redekopp

University of Southern California

Research output: Contribution to journal › Article › peer-review

Abstract

We outline a possible scenario of successive bifurcations to local and global modes on a Ginzburg-Landau model with varying coefficients. It is shown that self-sustained resonances may appear via a Hopf bifurcation when the system exhibits a region of local absolute instability which is sufficiently large. Our findings are in qualitative agreement with experimental observations of spatially developing flows such as wakes and inhomogeneous jets.

Original language	English
Pages (from-to)	25-28
Number of pages	4
Journal	Physical Review Letters
Volume	60
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevLett.60.25
Publication status	Published - 1 Jan 1988
Externally published	Yes

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title = "Bifurcations to local and global modes in spatially developing flows",

abstract = "We outline a possible scenario of successive bifurcations to local and global modes on a Ginzburg-Landau model with varying coefficients. It is shown that self-sustained resonances may appear via a Hopf bifurcation when the system exhibits a region of local absolute instability which is sufficiently large. Our findings are in qualitative agreement with experimental observations of spatially developing flows such as wakes and inhomogeneous jets.",

author = "Chomaz, \{J. M.\} and P. Huerre and Redekopp, \{L. G.\}",

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AU - Chomaz, J. M.

AU - Huerre, P.

AU - Redekopp, L. G.

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AB - We outline a possible scenario of successive bifurcations to local and global modes on a Ginzburg-Landau model with varying coefficients. It is shown that self-sustained resonances may appear via a Hopf bifurcation when the system exhibits a region of local absolute instability which is sufficiently large. Our findings are in qualitative agreement with experimental observations of spatially developing flows such as wakes and inhomogeneous jets.

U2 - 10.1103/PhysRevLett.60.25

DO - 10.1103/PhysRevLett.60.25

M3 - Article

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VL - 60

SP - 25

EP - 28

JO - Physical Review Letters

JF - Physical Review Letters

IS - 1

ER -

Bifurcations to local and global modes in spatially developing flows

Abstract

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