Contents

1 Brief Overview

2 Motivation

3 The Finite-Time Lyapunov Exponent

4 How the FTLE is Used

5 LCS as Ridges in the FTLE Field

6 LCS Properties

        6.1 LCS representation

        6.2 Flux across an LCS

        6.3 Proof of flux theorem

7 Examples

       7.1 Time-dependent double gyre

       7.2 Ocean currents off the coast of California and Florida

       7.3 Flow over an airfoil

8 Computation of FTLE

9 MANGEN

10 Additional Reading

References