...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Physica, A. Statistical mechanics and its applications >COHERENCE ANGLES AND COHERENCE TIMES IN HAMILTONIAN SYSTEMS WITH MANY DEGREES OF FREEDOM
【24h】

COHERENCE ANGLES AND COHERENCE TIMES IN HAMILTONIAN SYSTEMS WITH MANY DEGREES OF FREEDOM

机译：具有许多自由度的哈密尔顿系统的相干角和相干时间

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

The coexistence of ordered and chaotic dynamics in one and the same system has been detected already several years ago. A thorough description of a complex dynamical system, both from a mechanical and from a statistical point of view, requires the determination of the level of order and chaoticity of each single degree of freedom (DOF). We have introduced in a recent paper a new diagnostic tool to analyse the chaoticity of single DOFs or groups of DOFs: the coherence angles, which measure the angular distance between any physically relevant direction and the direction of maximum expansion in the tangent space. They allow at the same time a detailed characterization and a synoptic view of the dynamical behaviour of a system with many DOFs, but lack resolution among the most ordered DOFs when their number is very large. We present here a method allowing the attribution to each DOF (or group of DOFs) of a characteristic coherence time, which overcomes this lack of resolution. In phase space regions characterized by a highly chaotic dynamics, the coherence times are similar. On the other hand, in regions where the dynamics is weakly chaotic, the coherence times show relevant differences in the dynamical behaviour of different groups of DOFs. [References: 14]
机译：在同一系统中，有序和混沌动力学的共存已经在几年前被发现。从机械和统计角度全面描述复杂的动力学系统，需要确定每个单个自由度（DOF）的阶次和混沌度。我们在最近的论文中介绍了一种新的诊断工具，用于分析单个自由度或自由度组的混沌性：相干角，用于测量任何物理相关方向与切线空间中最大扩展方向之间的角距离。它们同时允许对具有许多DOF的系统的动力学行为进行详细的特征描述和概要视图，但当数量最多的DOF数量最大时，它们就缺乏分辨率。我们在这里提出一种允许特征相干时间归属于每个自由度（或自由度组）的方法，该方法克服了这种分辨率不足的问题。在以高度混沌动力学为特征的相空间区域中，相干时间相似。另一方面，在动力学较弱的区域，相干时间在不同自由度组的动力学行为中显示出相关的差异。 [参考：14]

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