含时向量场中的可分辨轨迹
Distinguished trajectories in time dependent vector fields
摘要：
我们引入了一个新的定义的区别轨迹，推广的概念，不动点和周期轨道的非周期动力系统。这个新的定义是有效的，以确定区分双曲型和非双曲型的稳定性的轨迹。该定义是实现数字和程序包括在确定的极限坐标的路径。它已被成功地应用于已知的例子，杰出的轨迹。在高度非周期性的现实流动的背景下，我们的定义的特点，在有限的时间间隔内的杰出的轨迹，并指出，这些间隔以外的轨迹不再区分。
英文摘要：
We introduce a new definition of distinguished trajectory that generalises the concepts of fixed point and periodic orbit to aperiodic dynamical systems. This new definition is valid for identifying distinguished trajectories with hyperbolic and non-hyperbolic types of stability. The definition is implemented numerically and the procedure consist in determining a path of limit coordinates. It has been successfully applied to known examples of distinguished trajectories. In the context of highly aperiodic realistic flows our definition characterises distinguished trajectories in finite time intervals, and states that outside these intervals trajectories are no longer distinguished.
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