CENTER PROBLEM AND MULTIPLE HOPF BIFURCATION FOR THE Z5-EQUIVARIANT PLANAR POLYNOMIAL VECTOR FIELDS OF DEGREE 5

DOI10.1142/S0218127409023810zbMath1170.34315OpenAlexW4255376517MaRDI QIDQ3398243

Yi-rong Liu, Ji-Bin Li

Publication date: 26 September 2009

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

Full work available at URL: https://doi.org/10.1142/s0218127409023810

zbMATH Keywords

limit cyclesLyapunov constantbifurcationsweak focusplanar dynamical system\(\mathbb Z_5\)-equivariance

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)

Related Items (5)

Bifurcation of limit cycles and pseudo-isochronicity at infinity in a septic polynomial vector field ⋮ Bifurcation set and number of limit cycles in \(Z_{2}\)-equivariant planar vector fields of degree 5 ⋮ Limit cycle bifurcations in a class of quintic \(Z_2\)-equivariant polynomial systems ⋮ Higher order limit cycle bifurcations from non-degenerate centers ⋮ \(Z_{2}\)-equivariant cubic system which yields 13 limit cycles

Cites Work

• CENTER PROBLEM AND MULTIPLE HOPF BIFURCATION FOR THE Z₆-EQUIVARIANT PLANAR POLYNOMIAL VECTOR, FIELDS OF DEGREE 5
• HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS

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