3 papers
math.DS2022
Discrete and continuous dynamics of real -dimensional nilpotent polynomial vector fields
Álvaro Castañeda, Salomón Rebollo-Perdomo
A large class of real -dimensional nilpotent polynomial vector fields of arbitrary degree is considered. The aim of this work is to present general properties of the discrete an…
math.CA2020
Addition theorems for Ck real functions and applications in ordinary differential equations
Francisco Crespo, Salomón Rebollo-perdomo, Jorge L. Zapata
This work establishes the existence of addition theorems and double-angle formulas for Ck real scalar functions. Moreover, we determine necessary and sufficient conditions for a bi…
math.DS2012
The number of medium amplitude limit cycles of some generalized Liénard systems
Salomón Rebollo-Perdomo
We will consider two special families of polynomial perturbations of the linear center. For the resulting perturbed systems, which are generalized Liénard systems, we provide the e…