TY - JOUR

T1 - A study of the effect of mode truncation on an exact periodic solution of an infinite set of Lorenz equations

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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U2 - 10.1016/0375-9601(82)90690-9

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

M3 - Article

AN - SCOPUS:4243375782

VL - 87

SP - 261

EP - 266

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 6

ER -