With symbolic dynamics, hyperbolic flow can be modelled by suspended flow. By defining transfer operator, discussing its contractivity and using the properties of function, we derive the asymptotic expression of orbits averages for hyperbolic flows.
借助符号动力系统将双曲流的周期轨道和悬挂流的周期轨道相对应,通过定义转移算子并对其进行谱和收缩性分析,讨论ζ函数的性质并利用解析数论中的技巧得到了双曲流的周期轨道依长度分布的轨道平均的渐近性质。
参考来源 - 双曲流的周期轨道平均·2,447,543篇论文数据，部分数据来源于NoteExpress
Because the governing equations for compressible unsteady potential flow is hyperbolic, looking time dimension as space dimension in the same way is never appropriate.
但由于可压缩非定常位势流动的控制方程是双曲型的，简单地把时间当作同空间一样的物理维来求解是不可行的。
The results show that relationship between flow stress and strain rate is applied to hyperbolic sine equation in the hot compressive deformation of 6061 aluminum alloy;
研究表明，6061铝合金热压缩塑性变形时的流变应力和应变速率之间的关系满足双曲正弦函数关系式；
A hyperbolic equation can fit the data well and is able to predict the DOC content and flux based on flow measurements.
据此建立的双曲线方程可用来估算DOC含量和输出通量。
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