Arrieta Algarra, José MaríaRodríguez Bernal, AníbalValero , José2023-06-202023-06-2020060218-127410.1142/S0218127406016586https://hdl.handle.net/20.500.14352/49740We study the nonlinear dynamics of a reaction-diffusion equation where the nonlinearity presents a discontinuity. We prove the upper semicontinuity of solutions and the global attractor with respect to smooth approximations of the nonlinear term. We also give a complete description of the set of fixed points and study their stability. Finally, we analyze the existence of heteroclinic connections between the fixed points, obtaining information on the fine structure of the global attractor.engjournal articlehttp://www.worldscinet.com/ijbc/ijbc.shtmlopen access517.9Reaction–diffusion equationSetvalued dynamical systemGlobal attractorUpper semicontinuityStabilityHeteroclinic connectionsEcuaciones diferenciales1202.07 Ecuaciones en Diferencias