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20212025
most citedKAM Theory for almost-periodic equilibria in one dimensional almost-periodic media

1 citations · 2 across the 9 of their papers we have counts for

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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…

math.DS2021★ 1 cited

Computation and Analysis of Jupiter-Europa and Jupiter-Ganymede Resonant Orbits in the Planar Concentric Circular Restricted 4-Body Problem

Bhanu Kumar, Rodney L. Anderson, Rafael de la Llave +1

Many unstable periodic orbits of the planar circular restricted 3-body problem (PCRTBP) persist as invariant tori when a periodic forcing is added to the equations of motion. In th…