3 papers
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…
math.DS2021
Limit Cycles from Planar Piecewise Linear Hamiltonian differential Systems with Two or Three Zones
C. Pessoa, R. Ribeiro
In this paper, we study the existence of limit cycles in continuous and discontinuous planar piecewise linear Hamiltonian differential systems with two or three zones separated by…