Averaging analysis of a perturbated quadratic center
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Publication:5945653
DOI10.1016/S0362-546X(99)00444-7zbMath0992.34024OpenAlexW1967480646WikidataQ126819238 ScholiaQ126819238MaRDI QIDQ5945653
Jaume Llibre, José Angel Rodríguez, Jesús S. Pérez del Río
Publication date: 29 November 2001
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/s0362-546x(99)00444-7
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) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)
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Cites Work
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Weak focus, limit cycles, and bifurcations for bounded quadratic systems
- On the shape of limit cycles that bifurcate from Hamiltonian centers
- Bifurcation of Limit Cycles from Centers and Separatrix Cycles of Planar Analytic Systems
- On the nonexistence, existence and uniqueness of limit cycles
- Unnamed Item
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