Isochronous Foci for Analytic Differential Systems

DOI10.1142/S0218127403007400zbMath1069.34046MaRDI QIDQ4653848

Jaume Giné

Publication date: 8 March 2005

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

zbMATH Keywords

isochronicityanalytic differential system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05)

Related Items (13)

Bifurcation of limit cycles and isochronous centers on center manifolds for a class of cubic Kolmogorov systems in \(\mathbb{R}^3\) ⋮ Complete classification on center of cubic planar systems symmetric with respect to a straight line ⋮ Criticality via first order development of the period constants ⋮ On the classical descriptions of the quantum phenomena in the harmonic oscillator and in a charged particle under the coulomb force ⋮ Linearizability and integrability of vector fields via commutation ⋮ Linearizability conditions for Lotka-Volterra planar complex quartic systems having homogeneous nonlinearities ⋮ Global analysis of planar neural networks ⋮ Complex isochronous centers and linearization transformations for cubic \(Z_2\)-equivariant planar systems ⋮ Temporally normalizable generic unfoldings of order-1 weak foci ⋮ ISOCHRONOUS SECTIONS VIA NORMALIZERS ⋮ Simultaneous bifurcation of limit cycles and critical periods ⋮ Parametric rigidity of the Hopf bifurcation up to analytic conjugacy ⋮ Unnamed Item

Cites Work

• A characterization of centres via first integrals
• Dynamics of commuting systems on two-dimensional manifolds
• Linearization of isochronous centers
• Limit-cycles and rotated vector fields
• Normal forms, symmetry and linearization of dynamical systems
• regularity properties of the period function near a center of a planar vector field

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