A class of ninth degree system with four isochronous centers

DOI10.1016/j.camwa.2008.05.024zbMath1165.34338OpenAlexW2060069184MaRDI QIDQ2389504

Heilong Mi, Chao-xiong Du, Yi-rong Liu

Publication date: 17 July 2009

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2008.05.024

zbMATH Keywords

isochronous centergeneral centergeneral focal valuesnode point values

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 (6)

Isochronicity for a \(Z_{2}\)-equivariant cubic system ⋮ The problem of bicenter and isochronicity for a class of quasi symmetric planar systems ⋮ Multiple bifurcations of critical period for a quartic Kolmogorov model ⋮ Weak center problem and bifurcation of critical periods for a \(Z_4\)-equivariant cubic system ⋮ Limit Cycles from Perturbing a Piecewise Smooth System with a Center and a Homoclinic Loop ⋮ Limit cycles and isochronous centers in a class of ninth degree system

Cites Work

• Theory of values of singular point in complex autonomous differential systems
• Isochronous centers of a linear center perturbed by fourth degree homogeneous polynomial
• An explicit expression of the first Lyapunov and period constants with applications
• Quadratic-like cubic systems
• Isochronicity into a family of time-reversible cubic vector fields
• A class of reversible cubic systems with an isochronous center
• PERIODIC CONSTANTS AND TIME-ANGLE DIFFERENCE OF ISOCHRONOUS CENTERS FOR COMPLEX ANALYTIC SYSTEMS
• Isochronous centers of a linear center perturbed by fifth degree homogeneous polynomials
• Isochronous centers of cubic systems with degenerate infinity
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