On the number of limit cycles surrounding a unique singular point for polynomial differential systems of arbitrary degree
DOI10.1016/j.na.2007.11.004zbMath1361.34030OpenAlexW2080973480MaRDI QIDQ960206
Jesús S. Pérez del Río, Belén García, Jaume Llibre
Publication date: 16 December 2008
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2007.11.004
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) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)
Related Items (3)
Cites Work
- On the shape of limit cycles that bifurcate from Hamiltonian centers
- Limit cycles of a perturbed cubic polynomial differential center
- Finiteness theorems for limit cycles: a digest of the revised proof
- Bifurcation of Limit Cycles from Centers and Separatrix Cycles of Planar Analytic Systems
- On the nonexistence, existence and uniqueness of limit cycles
- THE ORIGIN OF LIMIT CYCLES UNDER PERTURBATION OF THE EQUATIONdw/dz= -Rz/Rw, WHERER(z,w) IS A POLYNOMIAL
- Averaging analysis of a perturbated quadratic center
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