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Эта публикация цитируется в 4 научных статьях (всего в 4 статьях)
On the “Hidden” Harmonics Associated to Best Approximants Due to Quasi-periodicity in Splitting Phenomena
Ernest Fontich, Carles Simó, Arturo Vieiro Departament de Matemàtiques i Informàtica, Universitat de Barcelona, BGSMath, Gran Via 585, 08007, Barcelona, Catalonia
Аннотация:
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.
Ключевые слова:
quasi-periodic splitting, dominant harmonics, hidden harmonics, irrational numbers properties.
Поступила в редакцию: 10.07.2018 Принята в печать: 04.09.2018
Образец цитирования:
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
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd356 https://www.mathnet.ru/rus/rcd/v23/i6/p638
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