Parametric rigidity of the Hopf bifurcation up to analytic conjugacy

DOI10.1007/s10998-021-00385-yOpenAlexW3175140045MaRDI QIDQ2077890

Waldo Arriagada

Publication date: 22 February 2022

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-021-00385-y

zbMATH Keywords

rigiditymoduli spacecomplex dynamicsFatou coordinatesPoincaré domainSiegel domain

Mathematics Subject Classification ID

Complex singularities (32Sxx)

Cites Work

• Parametric rigidness of germs of analytic unfoldings with a Hopf bifurcation
• Characterization of the generic unfolding of a weak focus
• On real analytic foliations and the center problem
• Non-periodic isochronous oscillations in plane differential systems
• Temporally normalizable generic unfoldings of order-1 weak foci
• Newtonian dynamics in the plane corresponding to straight and cyclic motions on the hyperelliptic curve \(\mu^{2}= \nu^{n}-1, n \in \mathbb Z\): ergodicity, isochrony and fractals
• Classification analytique des équations différentielles non linéaires résonnantes du premier ordre
• Holonomie et intégrales premières
• Isochronous Foci for Analytic Differential Systems
• Isochronous Systems
• Isochronous centres and foci via commutators and normal forms
• Characterization of isochronous foci for planar analytic differential systems
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