A parameterization method for the computation of invariant tori andtheir whiskers in quasi-periodic maps: Numerical algorithms
150 citations recorded by the source corpus.
Subfields: Mathematical Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/e9eb86010f6f1b551ef933b9c64b693aaacf5898
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In Mathematical Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- Computation of whiskered invariant tori and their associated manifolds: new fast algorithms (2010, unknown): “The papers closest to our problems are [31, 30, 32], which consider tori of systems under quasi-periodic perturbation.”
- Computation of maximal local (un)stable manifold patches by the parameterization method (2015, methodology): “The parameterization method can also be used to compute stable/unstable manifolds associated with periodic orbits of differential equations [10, 21, 22], as well as stable/unstable manifolds associated with invariant circles/tori [23, 24].”