Coupled Lorenz oscillators

Stephen H. Davis; Michael N. Roppo

doi:10.1016/0167-2789(87)90077-7

Coupled Lorenz oscillators

Stephen H. Davis^*, Michael N. Roppo

^*Corresponding author for this work

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

26 Scopus citations

Abstract

A model system is derived consisting of two Lorenz oscillators, linearly coupled. When the temperature differences for both are equal, coexisting stable, steady convective states exist for a range of Rayleigh numbers. These correspond to co-current and counter-current flows. When the system jumps from the former to the latter, there is flow reversal in one oscillator and a reduction in the heat transport in the system. When the temperature differences are unequal, there is an imperfect secondary bifurcation showing similar jump behavior.

Original language	English (US)
Pages (from-to)	226-242
Number of pages	17
Journal	Physica D: Nonlinear Phenomena
Volume	24
Issue number	1-3
DOIs	https://doi.org/10.1016/0167-2789(87)90077-7
State	Published - 1987
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

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10.1016/0167-2789(87)90077-7

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title = "Coupled Lorenz oscillators",

abstract = "A model system is derived consisting of two Lorenz oscillators, linearly coupled. When the temperature differences for both are equal, coexisting stable, steady convective states exist for a range of Rayleigh numbers. These correspond to co-current and counter-current flows. When the system jumps from the former to the latter, there is flow reversal in one oscillator and a reduction in the heat transport in the system. When the temperature differences are unequal, there is an imperfect secondary bifurcation showing similar jump behavior.",

author = "Davis, {Stephen H.} and Roppo, {Michael N.}",

note = "Funding Information: The authors gratefully acknowledge the help of Prof. U. Miiller, Kernforschungszentrum Karlsruhe, for suggestions that led to the consideration of this work. This work was supported by the Applied Mathematics Program, U.S. Army Research Office.",

year = "1987",

doi = "10.1016/0167-2789(87)90077-7",

language = "English (US)",

volume = "24",

pages = "226--242",

journal = "Physica D: Nonlinear Phenomena",

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publisher = "Elsevier B.V.",

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T1 - Coupled Lorenz oscillators

AU - Davis, Stephen H.

AU - Roppo, Michael N.

N1 - Funding Information: The authors gratefully acknowledge the help of Prof. U. Miiller, Kernforschungszentrum Karlsruhe, for suggestions that led to the consideration of this work. This work was supported by the Applied Mathematics Program, U.S. Army Research Office.

PY - 1987

Y1 - 1987

N2 - A model system is derived consisting of two Lorenz oscillators, linearly coupled. When the temperature differences for both are equal, coexisting stable, steady convective states exist for a range of Rayleigh numbers. These correspond to co-current and counter-current flows. When the system jumps from the former to the latter, there is flow reversal in one oscillator and a reduction in the heat transport in the system. When the temperature differences are unequal, there is an imperfect secondary bifurcation showing similar jump behavior.

AB - A model system is derived consisting of two Lorenz oscillators, linearly coupled. When the temperature differences for both are equal, coexisting stable, steady convective states exist for a range of Rayleigh numbers. These correspond to co-current and counter-current flows. When the system jumps from the former to the latter, there is flow reversal in one oscillator and a reduction in the heat transport in the system. When the temperature differences are unequal, there is an imperfect secondary bifurcation showing similar jump behavior.

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DO - 10.1016/0167-2789(87)90077-7

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EP - 242

JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

IS - 1-3

ER -

Coupled Lorenz oscillators

Abstract

ASJC Scopus subject areas

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