It is demonstrated that the breather solutions recently discovered in the weakly coupled topological discrete sine-Gordon system are spectrally unstable. This is in contrast with more conventional spatially discrete systems, whose breathers are always spectrally stable at sufficiently weak coupling.
Breathers in the weakly coupled topological discrete sine-Gordon system
Spinning flavour branes and fermion pairing instabilities
Gyrating Strings: A new instability of black strings?
