Linear estimate of the number of zeros of Abelian integrals for a class of integrable non-Hamiltonian systems.
From MaRDI portal
Publication:1875498
DOI10.1016/S0362-546X(01)00566-1zbMath1042.34531OpenAlexW2035010013WikidataQ127932715 ScholiaQ127932715MaRDI QIDQ1875498
Chengzhi Li, Weigu Li, Jaume Llibre, Zhi-Fen Zhang
Publication date: 26 August 2004
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0362-546x(01)00566-1
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)
Related Items
Zeros of Abelian integrals for a quartic Hamiltonian with figure-of-eight loop through a nilpotent saddle, HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS, The cyclicity of period annuli for a class of cubic Hamiltonian systems with nilpotent singular points, Periodic orbits from second order perturbation via rational trigonometric integrals