| Aronson映象复杂性的研究 |
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| 引用本文： | 刘凤芝,杜婵英.Aronson映象复杂性的研究[J].北京师范大学学报(自然科学版),1994,30(2):203-206. |
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| 作者姓名： | 刘凤芝 杜婵英 |
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| 作者单位： | 北京师范大学物理学系 |
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| 摘 要： | 探索Ａｒｏｎｓｏｎ映象周期－混沌－周期运动的复杂特性。数值工作表明，参量ａ＜２．２７也有倍化周期与混沌交替出现，并用Ｌｙａｐｕｎｏｖ指数和功率谱等对混沌运动刻画，讨论了分岔图中的“网”结构。计算出倍化周期分岔的收敛速率，与一维映象的Ｆｅｉｇｅｎｂａｕｍ数作了比较。
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| 关 键 词： | Aronson映象 分岔图 系统 混沌 |
A STUDY OF THE COMPLEX BEHAVIORS FOR ARONSON MAP |
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| Liu Fengzhi,Du Chanyin.A STUDY OF THE COMPLEX BEHAVIORS FOR ARONSON MAP[J].Journal of Beijing Normal University(Natural Science),1994,30(2):203-206. |
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| Authors: | Liu Fengzhi Du Chanyin |
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| Abstract: | The complexity of period-chaos-period behaviors of the Aronson map is explored.Simulations show that periodic and chaotic behaviors also appear alternately for a<2.27,and the chaotic behavior is characterized using Lyapunov exponents and power spectrum.The net structure in the bifurcation diagram is discussed.The convergence rate of the successive period-doubling bifurcation is calculated and compared with the Feigenbaum number of one dimension map. |
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| Keywords: | Aronson map bifurcation diagram power spectrum Lyapunov exponent Feigenbaum number |
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