Further study on Horozov-Iliev's method of estimating the number of limit cycles

DOI10.1007/S11425-021-1933-7zbMath1510.34054arXiv2112.01674MaRDI QIDQ6384705

Mao'an Han, Xiao-yan Chen

Publication date: 2 December 2021

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Discontinuous ordinary differential equations (34A36) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

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