Chebyshev property of complete elliptic integrals and its application to Abelian integrals.

DOI10.2140/pjm.2002.202.341zbMath1086.34523OpenAlexW2055531600MaRDI QIDQ700652

Armengol Gasull, Weigu Li, Jaume Llibre, Zhi-Fen Zhang

Publication date: 22 October 2002

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2002.202.341

Mathematics Subject Classification ID

Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Elliptic functions and integrals (33E05) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)

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