Bifurcations and distribution of limit cycles which appear from two nests of periodic orbits

DOI10.1016/j.na.2010.06.009zbMath1211.34041OpenAlexW2095526788MaRDI QIDQ988132

Rasoul Asheghi, Hamid R. Z. Zangeneh

Publication date: 26 August 2010

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.2010.06.009

zbMATH Keywords

bifurcation of limit cyclesweak Hilbert sixteenth problem

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) Periodic orbits of vector fields and flows (37C27) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)

Related Items (1)

Abelian integrals and limit cycles for a class of cubic polynomial vector fields of Lotka-Volterra type with a rational first integral of degree two

Cites Work

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