On the 'hidden' harmonics associated to best approximants due to quasi-periodicity in splitting phenomena

Publication date

2023-01-31T11:36:35Z

2023-01-31T11:36:35Z

2018-12-12

2023-01-31T11:36:35Z

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.

Document Type

Article


Accepted version

Language

English

Publisher

Pleiades Publishing

Related items

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

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(c) Pleiades Publishing, 2018

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