Isochronous centres and foci via commutators and normal forms

DOI10.1017/S0308210506000382zbMath1155.34018MaRDI QIDQ5452111

Antonio Algaba, Manuel Reyes

Publication date: 20 March 2008

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

nonlinear differential equationsisochronicity

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (6)

On the critical points of the flight return time function of perturbed closed orbits ⋮ Criticality via first order development of the period constants ⋮ Temporally normalizable generic unfoldings of order-1 weak foci ⋮ Characterizing isochronous points and computing isochronous sections ⋮ Parametric rigidity of the Hopf bifurcation up to analytic conjugacy ⋮ Like-linearizations of vector fields

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