LIMIT CYCLES AND CENTERS IN A CUBIC PLANAR SYSTEM

DOI10.1142/S0218127410028240zbMath1298.34059MaRDI QIDQ3086303

Valery G. Romanovski, Yepeng Xing, Leonid Cherkas

Publication date: 30 March 2011

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

limit cyclescenters

Mathematics Subject Classification ID

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 (2)

Leonid Antonovich Cherkas ⋮ Integrability of Lotka–Volterra Planar Complex Cubic Systems

Cites Work

• An algebraic approach to the classification of centers in polynomial Liénard systems
• Center problem for several differential equations via Cherkas' method
• Twelve limit cycles in a cubic order planar system with \(Z_2\) symmetry
• Eleven small limit cycles in a cubic vector field

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