CENTER PROBLEM AND MULTIPLE HOPF BIFURCATION FOR THE Z6-EQUIVARIANT PLANAR POLYNOMIAL VECTOR, FIELDS OF DEGREE 5

DOI10.1142/S0218127409023950zbMath1168.34320OpenAlexW2138182530MaRDI QIDQ3394434

Yi-rong Liu, Ji-Bin Li

Publication date: 31 August 2009

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

Full work available at URL: https://doi.org/10.1142/s0218127409023950

zbMATH Keywords

limit cyclesplanar vector fieldLyapunov constantbifurcationsZ \(_{6}\)-equivariant system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Symmetries, invariants of ordinary differential equations (34C14) Bifurcation theory for ordinary differential equations (34C23) 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 (4)

New results on the study of \(Z_q\)-equivariant planar polynomial vector fields ⋮ Limit cycle bifurcations in a class of quintic \(Z_2\)-equivariant polynomial systems ⋮ \(Z_{2}\)-equivariant cubic system which yields 13 limit cycles ⋮ CENTER PROBLEM AND MULTIPLE HOPF BIFURCATION FOR THE Z₅-EQUIVARIANT PLANAR POLYNOMIAL VECTOR FIELDS OF DEGREE 5

Cites Work

• HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS

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