SEMISTABLE LIMIT CYCLES THAT BIFURCATE FROM CENTERS

DOI10.1142/S0218127403008600zbMath1101.37038MaRDI QIDQ4655539

Mireille Viano, Jaume Llibre, Hector J. Giacomini

Publication date: 8 March 2005

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

center-planar vector fieldLimit cycle-bifurcation

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) 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)

Related Items (3)

A survey on the inverse integrating factor ⋮ The inverse integrating factor and the Poincaré map ⋮ The limit cycles of a class of quintic polynomial vector fields

Cites Work

• On the integrability of two-dimensional flows
• Darboux integrability and the inverse integrating factor.
• On the shape of limit cycles that bifurcate from Hamiltonian centers
• Generic one-parameter families of vector fields on two-dimensional manifolds
• Algebraic approximations to bifurcation curves of limit cycles for the Liénard equation
• On the nonexistence, existence and uniqueness of limit cycles
• The shape of limit cycles that bifurcate from non-Hamiltonian centers
• Arbitrary order bifurcations for perturbed Hamiltonian planar systems via the reciprocal of an integrating factor

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