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.
Citation:
Ernest Fontich, Carles Simó, Arturo Vieiro, “On the “Hidden” Harmonics Associated to Best Approximants Due to Quasi-periodicity in Splitting Phenomena”, Regul. Chaotic Dyn., 23:6 (2018), 638–653
\Bibitem{FonSimVie18}
\by Ernest Fontich, Carles Sim\'o, Arturo Vieiro
\paper On the “Hidden” Harmonics Associated to Best Approximants Due to Quasi-periodicity in Splitting Phenomena
\jour Regul. Chaotic Dyn.
\yr 2018
\vol 23
\issue 6
\pages 638--653
\mathnet{http://mi.mathnet.ru/rcd356}
\crossref{https://doi.org/10.1134/S1560354718060011}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85058929329}
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