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Computer-assisted t...
Computer-assisted techniques for the verification of the Chebyshev property of Abelian integrals
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- Figueras, Jordi-Lluis (författare)
- Uppsala universitet,Matematiska institutionen
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- Tucker, Warwick (författare)
- Uppsala universitet,Matematiska institutionen
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Villadelprat, Jordi (författare)
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(creator_code:org_t)
- Elsevier BV, 2013
- 2013
- Engelska.
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Ingår i: Journal of Differential Equations. - : Elsevier BV. - 0022-0396 .- 1090-2732. ; 254:8, s. 3647-3663
- Relaterad länk:
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https://doi.org/10.1...
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https://urn.kb.se/re...
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Abstract
Ämnesord
Stäng
- We develop techniques for the verification of the Chebyshev property of Abelian integrals. These techniques are a combination of theoretical results, analysis of asymptotic behavior of Wronskians, and rigorous computations based on interval arithmetic. We apply this approach to tackle a conjecture formulated by Dumortier and Roussarie in [F. Dumortier, R Roussarie, Birth of canard cycles, Discrete Contin. Dyn. Syst. 2 (2009) 723-781], which we are able to prove for q <= 2.
Nyckelord
- Hilbert's 16th problem
- Chebyshev systems
- Abelian integrals
- Rigorous computer methods
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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