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周期受击陀螺的经典动力学及准能谱统计

, PP. 48-53

Keywords: 陀螺,准能谱统计,相空间,干草叉分岔

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Abstract:

研究一个周期受击陀螺系统的经典动力学与准能谱统计.发现在打击强度较弱(λ≤2.0)时,经典相空间的运动是规则的,最近邻能级间距分布呈泊松型;当打击强度λ≥2.5时,经典相空间的结构随着固定点(π/2,0)和(π/2,π)的干草叉(pitchfork)分岔变得越来越复杂直至λ≥6时的完全混沌.这时最近邻能级间距分布也由近泊松型朝着维格那型转化.文章中也计算了谱刚度、数方差、偏斜度、过度、数平均等统计量.

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