1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.DS2025
Multidimensional contracted rotations
Jose Pedro Gaivao, Benito Pires
We study the dynamics of multidimensional contracted rotations and address a problem posed by Y. Bugeaud and J-P. Conze in \textit{Acta Arithmetica} in 1999. More precisely, we sho…
math.DS2024★ 1 cited
Multi-dimensional piecewise contractions are asymptotically periodic
Jose Pedro Gaivao, Benito Pires
Piecewise contractions (PCs) are piecewise smooth maps that decrease distance between pairs of points in the same domain of continuity. The dynamics of a variety of systems is desc…
math.DS2006
Asymptotic stability at infinity for differentiable vector fields of the plane
C. Gutierrez, B. Pires, R. Rabanal
Let X:R2\Dr->R2 be a differentiable (but not necessarily C1) vector field, where r>0 and Dr={z\in R2:|z|\le r}. If for some e>0 and for all p\in R2\Dr, no eigenvalue of D_p X belon…