Linear estimate for the number of zeros of Abelian integrals for quadratic isochronous centres

DOI10.1088/0951-7715/13/5/318zbMath0999.34032OpenAlexW1998936919MaRDI QIDQ4515411

Chengzhi Li, Weigu Li, Jaume Llibre, Zhi-Fen Zhang

Publication date: 1 April 2001

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/13/5/318

zbMATH Keywords

limit cycleAbelian integralisochronous centre

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)

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