Gluing unstable fronts and backs together can produce stable pulses

We investigate the stability of pulses that are created at T-points in reaction-diffusion systems on the real line. The pulses are formed by gluing unstable fronts and backs together. We demonstrate that the bifurcating pulses can nevertheless be stable, and establish necessary and sufficient conditions that involve only the front and the back for the stability of the bifurcating pulses.

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