Local dynamics for fibred holomorphic transformations

DOI10.1088/0951-7715/20/12/011zbMath1144.37020arXiv0705.2165OpenAlexW3098447493MaRDI QIDQ5443407

Mario Ponce

Publication date: 21 February 2008

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.2165

zbMATH Keywords

local dynamicsholomorphic transformation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50)

Related Items (6)

Robust non-hyperbolic fibred quadratic polynomial dynamics ⋮ Naishul's theorem for fibered holomorphic maps ⋮ Fibred quadratic polynomials can admit two attracting invariant curves ⋮ Towards a semi-local study of parabolic invariant curves for fibered holomorphic maps ⋮ Sur la persistance des courbes invariantes pour les dynamiques holomorphes fibrées lisses ⋮ On the persistence of invariant curves for fibered holomorphic transformations

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