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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…