On the finite cyclicity of open period annuli

DOI10.1215/00127094-2010-005zbMath1205.34030arXiv0807.0512OpenAlexW3101430728MaRDI QIDQ963734

Lyubomir Gavrilov, Dmitri Novikov

Publication date: 13 April 2010

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.0512

zbMATH Keywords

cyclicityDarbouxian vector fieldperiod annuli

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

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