Carpio Rodríguez, Ana MaríaDuro, Gema2023-06-202023-06-202009-111531-349210.3934/dcdsb.2009.12.693https://hdl.handle.net/20.500.14352/42124Explosive instabilities in spatially discrete reaction-diffusion systems are studied. We identify classes of initial data developing singularities in finite time and obtain predictions of the blow-up times, whose accuracy is checked by comparison with numerical solutions. We present averaged and local blow-up estimates. Local blow-up results show that it is possible to have blow-up after blow-up. Conditions excluding or implying blow-up at space infinity are discussed.engjournal articlehttp://www.mat.ucm.es/~acarpio/archivos_pdfs/dcdsB2009.pdfrestricted access517.9InstabilityBlow-upReaction-diffusion systemsSpatial discretenessNonlinear oscillators.Ecuaciones diferenciales1202.07 Ecuaciones en Diferencias