Breathing dissipative solitons in three-component reaction-diffusion system.

@article{Gurevich2006BreathingDS,
  title={Breathing dissipative solitons in three-component reaction-diffusion system.},
  author={S. V. Gurevich and S G Amiranashvili and H G Purwins},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2006},
  volume={74 6 Pt 2},
  pages={066201}
}
We investigate the stability of the localized stationary solutions of a three-component reaction-diffusion system with one activator and two inhibitors. A change of the time constants of the inhibitors can lead to a destabilization of the stationary solution. The special case we are interested in is that the breathing mode becomes unstable first and the stationary dissipative soliton undergoes a bifurcation from a stationary to a "breathing" state. This situation is analyzed performing a two… CONTINUE READING