Interactions of resonances and global bifurcations in Rayleigh-Benard convection

Robert E. Ecke; Ioannis G. Kevrekidis

doi:10.1016/0375-9601(88)90785-2

Interactions of resonances and global bifurcations in Rayleigh-Benard convection

Robert E. Ecke, Ioannis G. Kevrekidis

Chemical & Biological Engineering

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Abstract

We present detailed two-parameter experimental studies of hysteresis and overlapping of resonances and secondary Hopf bifurcations in the quasiperiodic regime of low-aspect-ratio Rayleigh-Benard convection in solutions of ³He in superfluid ⁴He. The global bifurcations inferred from this experiment are similar to those observed in numerical studies of two-parameter families of maps of the plane with nonconstant jacobian.

Original language	English (US)
Pages (from-to)	344-352
Number of pages	9
Journal	Physics Letters A
Volume	131
Issue number	6
DOIs	https://doi.org/10.1016/0375-9601(88)90785-2
State	Published - Aug 29 1988

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1016/0375-9601(88)90785-2

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title = "Interactions of resonances and global bifurcations in Rayleigh-Benard convection",

abstract = "We present detailed two-parameter experimental studies of hysteresis and overlapping of resonances and secondary Hopf bifurcations in the quasiperiodic regime of low-aspect-ratio Rayleigh-Benard convection in solutions of 3He in superfluid 4He. The global bifurcations inferred from this experiment are similar to those observed in numerical studies of two-parameter families of maps of the plane with nonconstant jacobian.",

author = "Ecke, {Robert E.} and Kevrekidis, {Ioannis G.}",

note = "Funding Information: This work was supported by funds provided by the U.S. Department of Energy, Office of Basic Energy Science, Division of Materials Science. We would like to acknowledge the experimental assistance of Hans Haucke and many valuable discussions with Donald Aronson and Richard McGehee.",

year = "1988",

month = aug,

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doi = "10.1016/0375-9601(88)90785-2",

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T1 - Interactions of resonances and global bifurcations in Rayleigh-Benard convection

AU - Ecke, Robert E.

AU - Kevrekidis, Ioannis G.

N1 - Funding Information: This work was supported by funds provided by the U.S. Department of Energy, Office of Basic Energy Science, Division of Materials Science. We would like to acknowledge the experimental assistance of Hans Haucke and many valuable discussions with Donald Aronson and Richard McGehee.

PY - 1988/8/29

Y1 - 1988/8/29

N2 - We present detailed two-parameter experimental studies of hysteresis and overlapping of resonances and secondary Hopf bifurcations in the quasiperiodic regime of low-aspect-ratio Rayleigh-Benard convection in solutions of 3He in superfluid 4He. The global bifurcations inferred from this experiment are similar to those observed in numerical studies of two-parameter families of maps of the plane with nonconstant jacobian.

AB - We present detailed two-parameter experimental studies of hysteresis and overlapping of resonances and secondary Hopf bifurcations in the quasiperiodic regime of low-aspect-ratio Rayleigh-Benard convection in solutions of 3He in superfluid 4He. The global bifurcations inferred from this experiment are similar to those observed in numerical studies of two-parameter families of maps of the plane with nonconstant jacobian.

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U2 - 10.1016/0375-9601(88)90785-2

DO - 10.1016/0375-9601(88)90785-2

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SN - 0375-9601

VL - 131

SP - 344

EP - 352

JO - Physics Letters A

JF - Physics Letters A

IS - 6

ER -

Interactions of resonances and global bifurcations in Rayleigh-Benard convection

Abstract

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