Weak center problem and bifurcation of critical periods for a \(Z_4\)-equivariant cubic system

DOI10.1186/1687-1847-2013-197zbMath1383.34050OpenAlexW2159398343WikidataQ59301211 ScholiaQ59301211MaRDI QIDQ681126

Canhui Liu, Yi-rong Liu, Chao-xiong Du

Publication date: 30 January 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-197

zbMATH Keywords

Lyapunov constantscenter conditionweak center\(Z_4\)-equivariant

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

Simultaneity of centres in ℤ _q -equivariant systems ⋮ Isochronicity for a \(Z_{2}\)-equivariant cubic system ⋮ Multiple bifurcations of critical period for a quartic Kolmogorov model ⋮ Weak Bi-Center and Critical Period Bifurcations of a Z2-Equivariant Quintic System

Cites Work

• Unnamed Item
• Theory of values of singular point in complex autonomous differential systems
• Isochronous centers of a linear center perturbed by fourth degree homogeneous polynomial
• The centre conditions for a certain cubic system
• A new method to determine isochronous center conditions for polynomial differential systems.
• Weak centers and bifurcation of critical periods in reversible cubic systems
• A class of ninth degree system with four isochronous centers
• Bifurcation of Critical Periods for Plane Vector Fields
• Local Bifurcation of Critical Periods in Vector Fields With Homogeneous Nonlinearities of the Third Degree
• Local Bifurcations of Critical Periods in the Reduced Kukles System
• Isochronous centers of a linear center perturbed by fifth degree homogeneous polynomials

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