2 papers
math.DS2021
Computing the Invariant Circle and the Foliation by Stable Manifolds for a 2-D Map by the Parameterization Method: Numerical Implementation and Results
Yian Yao, Rafael De La Llave
We present and implement an algorithm for computing the invariant circle and the corresponding stable manifolds for 2-dimensional maps. The algorithm is based on the parameterizati…
math.DS2021
Computing the Invariant Circle and its Stable Manifolds for a 2-D Map by the Parameterization Method: Effective Algorithms and Rigorous Proofs of Convergence
Yian Yao, Rafael De La Llave
We present and analyze rigorously a quadratically convergent algorithm to compute an invariant circle for 2-dimensional maps along with the corresponding foliation by stable manifo…