| Abstract: |
| We develop a numerical algorithm to compute invariant circles and the corresponding stable manifolds for maps of the plane. The algorithms are efficient since they are quadratically convergent(since it is a quasi-Newton algorithm), they have low operation and low storage requirements. Furthermore, they are backed up by rigorous a-posterior theorems. We also present a discussion of the algorithm, the numerical properties (sensitivity to discretization, round off) and empirical results running them on an example from the literature. |
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