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Fast Sweep Method For Computation of Isostables and Isochrons

We propose a fast iterative algorithm for computation of isostables and isochronsfor dynamical systems with stable limit cycles or fixed points in high dimensions.We formulate the problem as a solution to a first order static Hamilton–Jacobiequation with a constant source term and we solve the boundary problem using aEulerian Fast Sweeping Method developed for this type of problems. We apply thismethod on several illustrative examples of dynamical systems and show that this isan efficient, accurate method which can be used in a data-driven setting.

sostables, isochrons, Hamilton–Jacobi

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