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$Classification of linear skew-products of the complex plane and an affine route to fractalization$

22 p, 1.6 MB

Classification of linear skew-products of the complex plane and an affine route to fractalization / Fagella Rabionet, Núria (Universitat de Barcelona. Departament de Matemàtiques i Informàtica) ; Jorba, Àngel (Universitat de Barcelona. Departament de Matemàtiques i Informàtica) ; Jorba-Cuscó, Marc (Universitat de Barcelona. Departament de Matemàtiques i Informàtica) ; Tatjer, Joan Carles (Universitat de Barcelona. Departament de Matemàtiques i Informàtica)
Linear skew products of the complex plane, θ↦θ+ω,z↦a(θ)z,} where θ∈T, z∈C, ω/2π is irrational, and [θ↦a(θ)∈C∖{0} is a smooth map, appear naturally when linearizing dynamics around an invariant curve of a quasi-periodically forced complex map. [...]
2019 - DOI (Digital Object Identifier)

10.3934/dcds.2019153
Discrete and continuous dynamical systems. Series A, Vol. 39, Issue 7 (July 2019) , p. 3767-3787

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