Pulses of tunable size near a subcritical bifurcation

S. Bottin; J. Lega

doi:10.1007/s100510050446

Pulses of tunable size near a subcritical bifurcation

S. Bottin, J. Lega

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

6 Scopus citations

Abstract

We show that a nonlinear gradient term can be used to tune the width of pulse-like solutions to a generalized quintic Ginzburg-Landau equation. We investigate the dynamics of these solutions and show that weakly turbulent patches can persist for long times. Analogies with turbulent spots in plane Couette flows are discussed.

Original language	English (US)
Pages (from-to)	299-308
Number of pages	10
Journal	European Physical Journal B
Volume	5
Issue number	2
DOIs	https://doi.org/10.1007/s100510050446
State	Published - 1998

Keywords

47.20.-k Hydrodynamic stability
47.54.+r Pattern selection; pattern formation

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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10.1007/s100510050446

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title = "Pulses of tunable size near a subcritical bifurcation",

abstract = "We show that a nonlinear gradient term can be used to tune the width of pulse-like solutions to a generalized quintic Ginzburg-Landau equation. We investigate the dynamics of these solutions and show that weakly turbulent patches can persist for long times. Analogies with turbulent spots in plane Couette flows are discussed.",

keywords = "47.20.-k Hydrodynamic stability, 47.54.+r Pattern selection; pattern formation",

author = "S. Bottin and J. Lega",

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T1 - Pulses of tunable size near a subcritical bifurcation

AU - Bottin, S.

AU - Lega, J.

PY - 1998

Y1 - 1998

N2 - We show that a nonlinear gradient term can be used to tune the width of pulse-like solutions to a generalized quintic Ginzburg-Landau equation. We investigate the dynamics of these solutions and show that weakly turbulent patches can persist for long times. Analogies with turbulent spots in plane Couette flows are discussed.

AB - We show that a nonlinear gradient term can be used to tune the width of pulse-like solutions to a generalized quintic Ginzburg-Landau equation. We investigate the dynamics of these solutions and show that weakly turbulent patches can persist for long times. Analogies with turbulent spots in plane Couette flows are discussed.

KW - 47.20.-k Hydrodynamic stability

KW - 47.54.+r Pattern selection; pattern formation

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DO - 10.1007/s100510050446

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VL - 5

SP - 299

EP - 308

JO - European Physical Journal B

JF - European Physical Journal B

IS - 2

ER -

Pulses of tunable size near a subcritical bifurcation

Abstract

Keywords

ASJC Scopus subject areas

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