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https://hdl.handle.net/2445/192808| Title: | On the 'hidden' harmonics associated to best approximants due to quasi-periodicity in splitting phenomena |
| Author: | Fontich, Ernest, 1955- Simó, Carles Vieiro Yanes, Arturo |
| Keywords: | Sistemes dinàmics diferenciables Pertorbació (Matemàtica) Sistemes hamiltonians Òrbites Differentiable dynamical systems Perturbation (Mathematics) Hamiltonian systems Orbits |
| Issue Date: | 12-Dec-2018 |
| Publisher: | Pleiades Publishing |
| Abstract: | 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. |
| Note: | Versió postprint del document publicat a: https://doi.org/10.1134/S1560354718060011 |
| It is part of: | Regular and Chaotic Dynamics, 2018, vol. 23, num. 6, p. 638-653 |
| URI: | https://hdl.handle.net/2445/192808 |
| Related resource: | https://doi.org/10.1134/S1560354718060011 |
| ISSN: | 1560-3547 |
| Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 683408.pdf | 399.23 kB | Adobe PDF | View/Open |
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