On the Limit Cycles of the Polynomial Differential Systems with a Linear Node and Homogeneous Nonlinearities

DOI10.1142/S0218127414500655zbMath1296.34076OpenAlexW1982084241MaRDI QIDQ2920772

Jaume Llibre, Xiang Zhang, Jiang Yu

Publication date: 29 September 2014

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

Full work available at URL: https://doi.org/10.1142/s0218127414500655

zbMATH Keywords

limit cyclepolynomial differential equationsnodehomogeneous nonlinearities

Mathematics Subject Classification ID

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

Related Items (4)

Global planar dynamics with a star node and contracting nonlinearity ⋮ On the limit cycles surrounding a diagonalizable linear node with homogeneous nonlinearities ⋮ On the Dynamics of a Class of Kolmogorov Systems ⋮ A Class of Quintic Kolmogorov Systems with Explicit Non-algebraic Limit Cycle

Cites Work

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• Further considerations on the number of limit cycles of vector fields of the form \(X(v)=Av+f(v)Bv\)
• Limit cycles of vector fields of the form \(X(v)=Av+f(v)Bv\)
• Limit cycles of a class of polynomial vector fields in the plane
• Limit cycles of polynomial systems with homogeneous non-linearities
• Integrability and algebraic limit cycles for polynomial differential systems with homogeneous nonlinearities.
• Dynamics of the polynomial differential systems with homogeneous nonlinearities and a star node
• Limit cycles of a class of polynomial systems
• On the limit cycles of polynomial differential systems with homogeneous nonlinearities
• HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS

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