A study of the effect of mode truncation on an exact periodic solution of an infinite set of Lorenz equations

M. Booty; J. D. Gibbon; A. C. Fowler

doi:10.1016/0375-9601(82)90690-9

A study of the effect of mode truncation on an exact periodic solution of an infinite set of Lorenz equations

M. Booty, J. D. Gibbon, A. C. Fowler

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Abstract

A set of complex Lorenz equations with an infinite number of z-components is shown to have an exact periodic solution. Sufficient conditions for the instability of this solution have been found and the effect of truncation of the z-components is considered. It is shown that in certain cases truncation has little effect but in others the stability criterion is radically altered.

Original language	English (US)
Pages (from-to)	261-266
Number of pages	6
Journal	Physics Letters A
Volume	87
Issue number	6
DOIs	https://doi.org/10.1016/0375-9601(82)90690-9
State	Published - Jan 18 1982
Externally published	Yes

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)

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10.1016/0375-9601(82)90690-9

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title = "A study of the effect of mode truncation on an exact periodic solution of an infinite set of Lorenz equations",

abstract = "A set of complex Lorenz equations with an infinite number of z-components is shown to have an exact periodic solution. Sufficient conditions for the instability of this solution have been found and the effect of truncation of the z-components is considered. It is shown that in certain cases truncation has little effect but in others the stability criterion is radically altered.",

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AU - Booty, M.

AU - Gibbon, J. D.

AU - Fowler, A. C.

PY - 1982/1/18

Y1 - 1982/1/18

N2 - A set of complex Lorenz equations with an infinite number of z-components is shown to have an exact periodic solution. Sufficient conditions for the instability of this solution have been found and the effect of truncation of the z-components is considered. It is shown that in certain cases truncation has little effect but in others the stability criterion is radically altered.

AB - A set of complex Lorenz equations with an infinite number of z-components is shown to have an exact periodic solution. Sufficient conditions for the instability of this solution have been found and the effect of truncation of the z-components is considered. It is shown that in certain cases truncation has little effect but in others the stability criterion is radically altered.

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DO - 10.1016/0375-9601(82)90690-9

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JO - Physics Letters A

JF - Physics Letters A

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A study of the effect of mode truncation on an exact periodic solution of an infinite set of Lorenz equations

Abstract

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