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Regular and Chaotic Dynamics, 2018, Volume 23, Issue 6, Pages 638–653
DOI: https://doi.org/10.1134/S1560354718060011 (Mi rcd356) 		 
This article is cited in 4 scientific papers (total in 4 papers)

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
Citations (4)
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DOI: https://doi.org/10.1134/S1560354718060011
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.
Keywords: quasi-periodic splitting, dominant harmonics, hidden harmonics, irrational numbers properties.
Funding agency Grant number
Ministerio de Economía y Competitividad de España MTM2016-80117-P
Ministry of Science and Innovation of Spanish MDM2014-0445
Agència de Gestiö d'Ajuts Universitaris i de Recerca 2017-SGR-1374
This work has been supported by grants MTM2016-80117-P, MDM2014-0445 (Spain) and 2017-SGR-1374 (Catalonia).
Received: 10.07.2018
Accepted: 04.09.2018
Bibliographic databases:
Document Type: Article
MSC: 37C55, 37J40, 37J45
Language: English
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
Citation in format AMSBIB
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\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
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\crossref{https://doi.org/10.1134/S1560354718060011}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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