Distinguished trajectories in time dependent vector fields

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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