2019/10/18 by Roland Rabanal, Rabanal, Roland
Mathematics · Physics and Astronomy · #14R15 (Secondary) #26B10 #37C15 #37E30 (Primary) #Advanced Differential Equations and Dynamical Systems #Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #math.CA #math.DS #msc:14R15 #msc:26B10 #msc:37C15 #msc:37E30
paper · pdf · doi:10.48550/arxiv.1910.08204
To appear in Journal of Difference Equations and Applications
openalex publication_date 2019/10/18 · arxiv created 2022/03/12 · arxiv updated 2022/03/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It is demonstrated that a C1-unipotent map is globally equivalent to the linear translation T(x,y)=(x+1,y), if the map is fixed point free Similarly, it is proved not only that the fixed point set induced by a C1-unipotent has no isolated elements, but that a C1-unipotent map has no periodic points. The relation with the existence of global attractors in R2, by using a global bifurcation on unipotent maps, is also studied.