| 用于检测同相轴的Duffing型系统恢复力项的讨论 |
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| 引用本文： | 赵雪平,李月,杨宝俊.用于检测同相轴的Duffing型系统恢复力项的讨论[J].地球物理学进展,2006,21(1):53-60. |
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| 作者姓名： | 赵雪平 李月 杨宝俊 |
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| 作者单位： | 吉林大学，长春 130026 |
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| 基金项目： | 国家自然科学基金项目(40374045)资助 |
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| 摘 要： | 在用于检测同相轴的Duffing型系统中，非线性恢复力项的选取至关重要．针对具有不同非线性恢复力项的混沌系统，本文首先就非线性恢复力项的来源进行了说明，然后通过对哈密顿系统和耗散系统的仿真实验分析，以及理论推导，确定了势能—哈密顿多项式方程中可用于混沌振子检测系统的各项幂次和各项系数组合关系，即非线性恢复力项的选取规则：幂次最高项为奇次，其系数大于零．
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| 关 键 词： | 细胞自动机 有限深势阱 分子组 量子力学 Lennard-Jones势能 能带结构 |
| 文章编号： | 1004-2903（2006）01-0053-08 |
| 收稿时间： | 2005-10-10 |
| 修稿时间： | 2005-12-20 |
The discussion to the resilience items in the Duffing type system used for detecting events |
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| ZHAO Xue-ping,YANG Bao-jun.The discussion to the resilience items in the Duffing type system used for detecting events[J].Progress in Geophysics,2006,21(1):53-60. |
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| Authors: | ZHAO Xue-ping YANG Bao-jun |
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| Institution: | Jilin University, Changchun 130026, China |
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| Abstract: | In the Duffing type systems used for detecting events, it is vital to select the nonlinear resilience item. As for the chaotic systems with the different nonlinear resilience items, the paper describes the origin of the nonlinear resilience item, simulates and analyzes the Hamilton systems and dissipative systems and deduces the relative theory, and then the paper presents the combined relations between each power and coefficient in the potential energy-Hamilton polynomial equation used for the chaotic oscillator detection system, that is, the rule to select the nonlinear resilience item: the highest item of powers should be odd and its coefficient should be more than zero. |
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| Keywords: | Cellular automata finite deep potential trough molecule group quantum mechanics Lennard-Jones potential energy belt structure |
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