The modulus of analytic classification for the unfolding of the codimension-one flip and Hopf bifurcations

Author:

Arriagada-Silva Waldo,Rousseau Christiane

Publisher

Cellule MathDoc/CEDRAM

Reference19 articles.

1. [1] Arriagada-Silva (W.).— Characterization of the generic unfolding of a weak focus. Preprint J. Diff. Eqs., JDEQ10-246R1, (2010).

2. [2] Arriagada-Silva (W.).— Characterization of the unfolding of a weak focus and modulus of analytic classification. PhD thesis, Université de Montréal, (2010).

3. [3] Christopher (C.) and Rousseau (C.).— The moduli space of germs of generic families of analytic diffeomorphisms unfolding a parabolic fixed point. Preprint, (2008).

4. [4] Ecalle (J.).— Les fonctions résurgentes. Publications mathématiques d’Orsay, (1985).

5. [5] Fatou (P.).— Sur les équations fonctionnelles. Bull. Soc. Math. France, Paris, 47, 48: p. 161-271, p. 33-94, p. 208-314, (1919-1920).

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1. The Equivalence Problem in Analytic Dynamics for 1-Resonance;Arnold Mathematical Journal;2022-01-20

2. Temporally Normalizable Generic Unfoldings of Order-1 Weak Foci;Journal of Dynamical and Control Systems;2014-11-09

3. The modulus of unfoldings of cusps in conformal geometry;Journal of Differential Equations;2012-01

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