Coupled Lorenz oscillators.

S. H. Davis; M. N. Roppo

Coupled Lorenz oscillators.

S. H. Davis, M. N. Roppo

Research output: Chapter in Book/Entry/Poem › Chapter

Abstract

A model system was 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 cocurrent and countercurrent 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.

Original language	English (US)
Title of host publication	Unknown Host Publication Title
Publisher	Soc. Ind. & Appl. Math
Edition	(eds.), Philadelphia, U.S.A., Soc. Ind. & Appl. Math., 1986, ...
ISBN (Print)	0898712084, 9780898712087
State	Published - 1986
Externally published	Yes

ASJC Scopus subject areas

General Engineering

Cite this

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title = "Coupled Lorenz oscillators.",

abstract = "A model system was 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 cocurrent and countercurrent 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.",

author = "Davis, {S. H.} and Roppo, {M. 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. Copyright: Copyright 2017 Elsevier B.V., All rights reserved.",

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PY - 1986

Y1 - 1986

N2 - A model system was 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 cocurrent and countercurrent 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.

AB - A model system was 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 cocurrent and countercurrent 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.

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ER -

Coupled Lorenz oscillators.

Abstract

ASJC Scopus subject areas

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