Reactive systems are known to give birth to complex spatiotemporal phenomena, when they are maintained far enough from their equilibrium state. There are literally hundreds of experimental evidences showing the emergence of such self-organized behaviors at the macroscopic scale. Examples include the appearance of regular oscillations of concentration in both space and time, the formation of stationary spatial organization of reactants and products, and the emergence of spatiotemporal chaos, to cite but a few examples.The theoretical understanding of these phenomena can be considered as being well established. Chemical reactions play a central role in the appearance of complex behaviors because they are nonlinear processes. Indeed, the rates of reactions are typically polynomials of the concentrations and moreover include constants that depend exponentially on the temperature. Because of this, the equations ruling the spatiotemporal development of chemical reactions, which often take the form of reaction-diffusion equations, admit complicated (and even sometimes multiple) solutions. The number and the type of solutions change abruptly for some precise combinations of the parameters of the system, which are known as bifurcation points. This feature explains why new dynamical behaviors are observed only whenever a