| 相对论的受驱谐振子混沌：相对论效应和驱动力效应 |
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| 引用本文： | 施建成,罗敏. 相对论的受驱谐振子混沌：相对论效应和驱动力效应[J]. 四川大学学报(自然科学版), 2009, 46(3): 707-712. DOI: 10.3969/j.issn.0490-6756.2009.03.037 |
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| 作者姓名： | 施建成 罗敏 |
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| 作者单位： | 1. 广西师范学院化学系,南宁,530001
2. 广西师范大学教务处,南宁,530001 |
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| 基金项目： | 广西教育厅科研基金(200707LX178) |
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| 摘 要： | 本文用数值模拟方法研究了相对论效应和驱动力效应对谐振子动力学行为的影响作用.结果表明：相对论效应和驱动力效应的协同作用能使体系的振动频率发生改变，从而使体系产生混沌现象.如果仅存在一种效应，体系就不可能出现混沌.另外，研究还发现体系存在着取决于光速值和驱动力振幅值的混沌区域.在这个混沌区内，光速值和驱动力振幅值的比例约为1∶5.
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| 关 键 词： | 混沌；相对论效应；谐振子 |
Chaos in driven relativistic harmonic oscillator: the relativistic effect and the driving force effect |
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| SHI Jian-Cheng,LUO Min. Chaos in driven relativistic harmonic oscillator: the relativistic effect and the driving force effect[J]. Journal of Sichuan University (Natural Science Edition), 2009, 46(3): 707-712. DOI: 10.3969/j.issn.0490-6756.2009.03.037 |
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| Authors: | SHI Jian-Cheng LUO Min |
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| Affiliation: | Department of Chemistry, Guangxi Teachers Education University;Teaching Affairs Office, Guangxi Teachers Education University |
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| Abstract: | The relativistic effect and driving force effect on the dynamical behaviours of driven harmonic oscillator have been studied in this paper. It is found that, at proper relativistic effect and the external force effect,the oscillation frequency of system would shift from its natural value, consequently, chaos might be exhibited. If only one of two effects is considered, the system does not show the chaos. Furthermore, there exists a region where the system is chaos. In this region, the ratio of light speed and the amplitude of the driving force is |
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| Keywords: | chaos relativistic effect harmonic oscillator |
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