• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Acustica >Lyapunov exponents from experimental time series: Application to cymbal vibrations
【24h】

Lyapunov exponents from experimental time series: Application to cymbal vibrations

机译：实验时间序列的Lyapunov指数：在c振动中的应用

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

Lyapunov exponents are among the most relevant and most informative invariants for detecting and quantifying chaos in a dynamical system. This method is applied here to the analysis of cymbal vibrations. The advantage of using a quadratic fit for determining the Jacobian of the dynamics is presented. In addition, the interest of using a time step for the evolution of the neighbourhood not equal to the timelag used for the reconstruction of the phase space is underlined. The robustness of the algorithm used yields a high degree of confidence in the characterization and in the quantification of the chaotic state. To illustrate these features in the case of cymbal vibrations, transitions from quasiperiodicity to chaos are exhibited. The quasiperiodic state of the system is characterized together by the power spectrum of the experimental signal and by calculation of the Lyapunov spectrum. [References: 42]
机译：Lyapunov指数是用于检测和量化动力学系统中混沌的最相关，最有用的不变式。此方法在这里用于c振动分析。提出了使用二次拟合确定动力学的雅可比行列式的优势。另外，强调了使用时间步长用于邻域的演化的兴趣，该时间步长不等于用于重建相空间的时滞。使用的算法的鲁棒性在混沌状态的表征和量化中产生了高度的置信度。为了说明c振动情况下的这些特征，显示了从准周期到混沌的过渡。该系统的准周期状态由实验信号的功率谱和李雅普诺夫谱的计算共同表征。 [参考：42]

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号