Brjuno conditions for linearization in presence of resonances

zbMath1298.37035arXiv0911.4341MaRDI QIDQ3101189

Jasmin Raissy

Publication date: 22 November 2011

Full work available at URL: https://arxiv.org/abs/0911.4341

zbMATH Keywords

linearizationnormal formslocal dynamicsgerms of biholomorphisms

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Holomorphic maps on manifolds (58C10)

Related Items (5)

Holomorphic linearization of commuting germs of holomorphic maps ⋮ The linearization of periodic Hamiltonian systems with one degree of freedom under the Diophantine condition ⋮ Small divisors in discrete local holomorphic dynamics ⋮ Open problems in local discrete holomorphic dynamics ⋮ Periodic cycles of attracting Fatou components of type \(\mathbb{C}\times(\mathbb{C}^*)^{d-1}\) in automorphisms of \(\mathbb{C}^d\)

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