Bifurcation of limit cycles from a 4-dimensional center in \(\mathbb R^m\) in resonance \(1:N\)
From MaRDI portal
Publication:764920
DOI10.1016/j.jmaa.2011.12.018zbMath1242.34066OpenAlexW1978148445MaRDI QIDQ764920
Claudia Valls, Jaume Llibre, Luis Barreira
Publication date: 16 March 2012
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.12.018
Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Averaging method for ordinary differential equations (34C29)
Related Items
Local bifurcation and center problem for a more generalized Lorenz system, Bifurcation of multiple periodic solutions for a class of nonlinear dynamical systems in \((m+4)\)-dimension, Limit cycles of polynomial Liénard systems via the averaging method, Limit cycles from a four-dimensional centre inℝmin resonancep : q, A Class of Three-Dimensional Quadratic Systems with Ten Limit Cycles, Limit cycles bifurcations for a class of 3-dimensional quadratic systems
Cites Work
- Limit cycles of differential equations
- Limit cycles of polynomial systems with homogeneous non-linearities
- Isochronous centers of a linear center perturbed by fourth degree homogeneous polynomial
- Integrability of a linear center perturbed by a fifth degree homogeneous polynomial
- Averaging methods for finding periodic orbits via Brouwer degree.
- Limit cycles of the generalized polynomial Liénard differential equations
- Bifurcation of limit cycles from a centre in ℝ4in resonance 1:N
- On the limit cycles of polynomial differential systems with homogeneous nonlinearities
- Centennial History of Hilbert's 16th Problem
- HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
