Numerical study of invariant sets of a quasiperiodic perturbation of a symplectic map
Tompaidis, Stathis
Experiment. Math., Tome 5 (1996) no. 4, p. 211-230 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
We study the behavior of invariant sets of a volume-preserving map that is a quasiperiodic perturbation of a symplectic map, using approximation by periodic orbits. We present numerical results for analyticity domains of invariant surfaces, behavior after breakdown, and a critical function describing breakdown of invariant surfaces as a function of their rotation vectors. We discuss implications of our results to the existence of a renormalization group operator describing breakdown of invariant surfaces.
Publié le : 1996-05-14
Classification:  58F27,  34C27,  34C30 
@article{1047915102,
     author = {Tompaidis, Stathis},
     title = {Numerical study of invariant sets of a quasiperiodic perturbation of a symplectic map},
     journal = {Experiment. Math.},
     volume = {5},
     number = {4},
     year = {1996},
     pages = { 211-230},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1047915102}
}

Tompaidis, Stathis. Numerical study of invariant sets of a quasiperiodic perturbation of a symplectic map. Experiment. Math., Tome 5 (1996) no. 4, pp.  211-230. http://gdmltest.u-ga.fr/item/1047915102/