| PERIOD-DOUBLING BIFURCATIONS OF THE ATMOSPHERIC CIRCULATION AND APERIODIC VARIATIONS OF THE FLOW PATTERNS |
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| 作者姓名： | Luo Zhexian |
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| 作者单位： | Gansu Research |
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| 摘 要： | An eighth-order set of ordinary differential equations, which governs the dynamics of aquasi-geostrophic flow of the baroclinic atmosphere, is used to investigate bifurcational and chaoticforms of the atmospheric circulation. Numerical integrations of the set exhibit period-doublingbifurcations of the flow patterns. It would seem that the Feigenbaum relation (r_n-r_(n-1))/(r_(n+1)-r_n)=4.6692 is satisfied approximately. Above a limit point the solutions are aperiodic and chaotic, anda strange attractor having four inter-linked chaotic fragments appears. A window of period-6emerges also in the chaotic region.
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| 收稿时间： | 1986/11/17 0:00:00 |
PERIOD-DOUBLING BIFURCATIONS OF THE ATMOSPHERIC CIRCULATION AND APERIODIC VARIATIONS OF THE FLOW PATTERNS |
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| Luo Zhexian.PERIOD-DOUBLING BIFURCATIONS OF THE ATMOSPHERIC CIRCULATION AND APERIODIC VARIATIONS OF THE FLOW PATTERNS[J].Acta Meteorologica Sinica,1988,2(1):47-54. |
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| Authors: | Luo Zhexian |
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| Institution: | Gansu Research Institute of Meteorological Science, Lanzhou |
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| Abstract: | An eighth-order set of ordinary differential equations, which governs the dynamics of a quasi-geostrophic flow of the baroclinic atmosphere, is used to investigate bifurcational and chaotic forms of the atmospheric circulation. Numerical integrations of the set exhibit period-doubling bifurcations of the flow patterns. It would seem that the Feigenbaum relation (rn-rn-1)/(rn+1-rn)=4.6692 is satisfied approximately. Above a limit point the solutions are aperiodic and chaotic, and a strange attractor having four inter-linked chaotic fragments appears. A window of period-6 emerges also in the chaotic region. |
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