New arbitrary-parameter families of centres for polynomial vector fields of arbitrary degree

DOI10.1080/14689360701871755zbMath1152.34328OpenAlexW2028560794MaRDI QIDQ3520274

Claudia Valls

Publication date: 18 August 2008

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689360701871755

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05)

Cites Work

• Quadratic systems with center and their perturbations
• Algebraic Particular Integrals, Integrability and the Problem of the Center
• Bifurcation of limit cycles and integrability of planar dynamical systems in complex form
• On a certain generalization of Bautin's theorem