Weak Center and Bifurcation of Critical Periods in a Cubic Z2-Equivariant Hamiltonian Vector Field

DOI10.1142/S0218127415501436zbMath1327.34055OpenAlexW2223587622MaRDI QIDQ3457737

Wen-tao Huang, Yusen Wu, Yongqiang Suo

Publication date: 17 December 2015

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

Full work available at URL: https://doi.org/10.1142/s0218127415501436

zbMATH Keywords

Hamiltonianbifurcation of critical periodsweak center

Mathematics Subject Classification ID

Related Items (1)

Small amplitude limit cycles and local bifurcation of critical periods for a quartic Kolmogorov system

Cites Work

• Decomposition of algebraic sets and applications to weak centers of cubic systems
• Bifurcation of critical periods from the rigid quadratic isochronous vector field
• On the number of critical periods for planar polynomial systems
• Local bifurcations of critical periods for cubic Liénard equations with cubic damping
• A new method to determine isochronous center conditions for polynomial differential systems.
• Weak centers and bifurcation of critical periods in reversible cubic systems
• On the critical periods of Liénard systems with cubic restoring forces
• CRITICAL PERIODS OF PLANAR REVERTIBLE VECTOR FIELD WITH THIRD-DEGREE POLYNOMIAL FUNCTIONS
• The Center and Cyclicity Problems
• BIFURCATIONS OF CRITICAL PERIODS: CUBIC VECTOR FIELDS IN KAPTEYN'S NORMAL FORM
• 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
• Critical period bifurcations of a cubic system

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