Chaos, bifurcations and periodic orbits of the Lorenz-Stenflo system

Chaos, bifurcations and periodic orbits of the Lorenz-Stenflo system
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Lorenz-Stenflo 系统的混沌、分岔和周期轨道

DOI:
10.1088/0031-8949/55/4/003
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发表时间:
1997-04
期刊:
影响因子:
2.9
通讯作者:
M.Y.Yu
M.Y.Yu
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Cangtao Zhou;C.H.Lai;M.Y.Yu

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Chaos, bifurcation structures, and periodic orbits of the generalized Lorenz system obtained by Stenflo (1996 Physical Scripta 53 83) for describing nonlinear low-frequency short-wavelength acoustic-gravity waves are investigated. It is shown that both saddle-node and period-doubling bifurcations exist in the domain of Hopf instability, and that forward and backward bifurcations may appear respectively in the rotation and Rayleigh number spaces, but both appear in the Prandtl-number space. Interactive empirical formulas for predicting the higher periodic windows are developed, and orbit characteristics in typical periodic windows are discussed.
DOI: 10.1007/978-1-4612-5767-7
发表时间: 1982-12
期刊: --
影响因子: --
作者:
C. Sparrow
通讯作者: C. Sparrow
DOI: 10.1088/0031-8949/54/2/003
发表时间: 1996-08
期刊: Physica Scripta
影响因子: 2.9
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DOI: 10.1088/0031-8949/31/1/003
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影响因子: 2.9
作者:
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DOI: 10.1119/1.17594
发表时间: 1992
期刊: --
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作者:
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DOI: 10.1103/physreva.29.2928
发表时间: 1984-05
期刊: Physical Review A
影响因子: 2.9
作者:
J. Frøyland;Knut H. Alfsen
通讯作者: J. Frøyland;Knut H. Alfsen