| Contents |
| We introduce a new concept of entropy called Finite-time Metric Entropy (FTME), which is a transient-in-time and local-in-space version of the classical concept of metric entropy. Based on that, a transient version of Pesin's entropy formula and also an explicit formula for finite-time metric entropy for 2-D systems are derived. We also discuss how to apply the finite-time metric entropy field to detect special transient dynamics such as Lagrangian coherent structures. |
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