The moduli space of germs of generic families of analytic diffeomorphisms unfolding of a codimension one resonant diffeomorphism or resonant saddle

DOI10.1016/j.jde.2009.12.003zbMath1204.37048OpenAlexW2006798731MaRDI QIDQ960829

Christiane Rousseau

Publication date: 29 March 2010

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2009.12.003

zbMATH Keywords

moduli spaceresonant saddleunfoldingsresonant biholomorphism

Mathematics Subject Classification ID

Related Items (8)

The equivalence problem in analytic dynamics for 1-resonance ⋮ Characterization of the generic unfolding of a weak focus ⋮ Unnamed Item ⋮ The modulus of analytic classification for the unfolding of the codimension-one flip and Hopf bifurcations ⋮ The modulus of unfoldings of cusps in conformal geometry ⋮ Analytic moduli for unfoldings of germs of generic analytic diffeomorphisms with a codimension parabolic point ⋮ Temporally normalizable generic unfoldings of order-1 weak foci ⋮ Coalescing Complex Planar Stationary Points

Cites Work

• An analytic classification of saddle resonant singular points of holomorphic vector fields in the complex plane
• Modulus of analytic classification for the generic unfolding of a codimension 1 resonant diffeomorphism or resonant saddle
• Some integration problems in almost-complex and complex manifolds
• Classification analytique des équations différentielles non linéaires résonnantes du premier ordre
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