Parameterization Method for Computing Quasi-periodic Reducible Normally Hyperbolic Invariant Tori

Author:

Canadell Marta,Haro Àlex

Publisher

Springer International Publishing

Reference16 articles.

1. Broer, H.W., Huitema, G.B., Sevryuk, M.B.: Quasi-periodic Motions in Families of Dynamical Systems. Order Amidst Chaos. Lecture Notes in Mathematics, vol. 1645. Springer, Berlin (1996)

2. Broer, H., Osinga, H., Vegter, G.: Algorithms for computing normally hyperbolic invariant manifolds. Z. Angew. Math. Phys. 48(3), 480–524 (1997)

3. Calleja, R., Celletti, A., de la Llave, R.: KAM theory for conformally symplectic systems: efficient algorithms and their validation. J. Differ. Equ. 255(5), 978–1049 (2013)

4. Calleja, R., Figueras, J.-L.: Collision of invariant bundles of quasi-periodic attractors in the dissipative standard map. Chaos 22(3), 033114 (2012)

5. Canadell, M.: Computation of normally hyperbolic invariant manifolds. PhD thesis, Universitat de Barcelona (July 2014)

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