CENTERS FOR THE KUKLES HOMOGENEOUS SYSTEMS WITH EVEN DEGREE

DOI10.11948/2017093zbMath1456.34027OpenAlexW2762937922MaRDI QIDQ5121524

Jaume Llibre, Claudia Valls, Jaume Giné

Publication date: 15 September 2020

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/2017093

zbMATH Keywords

isochronous centercenterpolynomial autonomous differential system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05)

Related Items (12)

Integrability Conditions for Complex Homogeneous Kukles Systems ⋮ A complete classification on the center-focus problem of a generalized cubic Kukles system with a nilpotent singular point ⋮ The isochronous center for Kukles homogeneous systems of degree eight ⋮ Maximum number of limit cycles for generalized Kukles differential system ⋮ Globally asymptotically stable equilibrium points in Kukles systems ⋮ SIXTEEN LARGE-AMPLITUDE LIMIT CYCLES IN A SEPTIC SYSTEM ⋮ The isochronous centers for Kukles homogeneous system of degree nine ⋮ On a class of polynomial differential systems of degree 4: phase portraits and limit cycles ⋮ The centers and their cyclicity for a class of polynomial differential systems of degree 7 ⋮ Symbolic computation for the qualitative theory of differential equations ⋮ Integrability and limit cycles in cubic Kukles systems with a nilpotent singular point ⋮ Centers and Limit Cycles of Generalized Kukles Polynomial Differential Systems: Phase Portraits and Limit Cycles

Uses Software

• SINGULAR
• primdec

Cites Work

• Kukles revisited: Advances in computing techniques
• Gröbner bases and primary decomposition of polynomial ideals
• Computing centre conditions for certain cubic systems
• An algebraic approach to the classification of centers in polynomial Liénard systems
• Center conditions for a lopsided quintic polynomial vector field
• Conditions for the existence of a center for the Kukles homogeneous systems
• Center conditions for a lopsided quartic polynomial vector field
• On the conditions of Kukles for the existence of a Centre
• On the Paper of Jin and Wang Concerning the conditions for a Centre in certain Cubic Systems
• Centers for the Kukles homogeneous systems with odd degree
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