2023-01-31T11:36:35Z
2023-01-31T11:36:35Z
2018-12-12
2023-01-31T11:36:35Z
The effects of quasi-periodicity on the splitting of invariant manifolds are examined. We have found that some harmonics, that could be expected to be dominant in some ranges of the perturbation parameter, actually are nondominant. It is proved that, under reasonable conditions, this is due to the arithmetic properties of the frequencies.
Article
Accepted version
English
Sistemes dinàmics diferenciables; Pertorbació (Matemàtica); Sistemes hamiltonians; Òrbites; Differentiable dynamical systems; Perturbation (Mathematics); Hamiltonian systems; Orbits
Pleiades Publishing
Versió postprint del document publicat a: https://doi.org/10.1134/S1560354718060011
Regular and Chaotic Dynamics, 2018, vol. 23, num. 6, p. 638-653
https://doi.org/10.1134/S1560354718060011
(c) Pleiades Publishing, 2018