Limit cycles from a four-dimensional centre inℝmin resonancep : q

DOI10.1080/14689367.2012.722911zbMath1259.34023OpenAlexW2062421594MaRDI QIDQ4648277

Claudia Valls, Jaume Llibre, Luis Barreira

Publication date: 8 November 2012

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

Full work available at URL: https://doi.org/10.1080/14689367.2012.722911

zbMATH Keywords

limit cycleaveragingfour-dimensional centerperturbation of a center

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Degree theory for nonlinear operators (47H11) Averaging method for ordinary differential equations (34C29) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

Cites Work

• Bifurcation of limit cycles from a 4-dimensional center in \(\mathbb R^m\) in resonance \(1:N\)
• Averaging methods for finding periodic orbits via Brouwer degree.
• Bifurcation of limit cycles from a centre in ℝ⁴in resonance 1:N
• Centennial History of Hilbert's 16th Problem
• HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS