Zeros of Abelian integral for a class of quintic planar vector fields with a double homoclinic loop under non-symmetry perturbations

DOI10.1360/N012016-00126zbMATH Open1499.34228OpenAlexW2549728371MaRDI QIDQ5063754

Liqin Zhao

Publication date: 21 March 2022

Published in: SCIENTIA SINICA Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1360/n012016-00126

zbMATH Keywords

double homoclinic loopabelian integralextended complete Chebyshev systems

Mathematics Subject Classification ID

Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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