3 papers
math.DS2025
The hybrid matching of Hurwitz systems
Luis Fernando Mello, Paulo Santana
In this paper we study planar hybrid systems composed by two stable linear systems, defined by Hurwitz matrices, in addition with a jump that can be a piecewise linear, a polynomia…
math.DS2025
Traveling wave solutions of the Burgers-Huxley equations
Luis Fernando Mello, Ronisio Moises Ribeiro
We study the traveling wave solutions of the Burgers-Huxley equation from a geometric point of view via the qualitative theory of ordinary differential equations. By using the Poin…
math.DS2025
Global stability of the Lengyel-Epstein systems
Lucas Queiroz Arakaki, Luis Fernando Mello, Ronisio Moises Ribeiro
We study the global (asymptotic) stability of the Lengyel-Epstein differential systems, sometimes called Belousov-Zhabotinsky differential systems. Such systems are topologically e…