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math.CA2025
A family of planar Lotka--Volterra systems with invariant algebraic curves of arbitrary degree
Javier Coyo-Guarachi, Salomón Rebollo-Perdomo
We introduce a new family of planar Lotka--Volterra systems admitting explicit invariant algebraic curves of arbitrarily high degree.
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…