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 -