This paper discusses reaction-diffusion wave propagation in fractal lattices, of infinite generation level. We describe how an input/output renormalisation approach can be used to investigate the existence of travelling waves. We also develop a framework for discussing the stability of these travelling waves.
- fractal lattices
- wave theory
- numerical mathematics
Abdulbake, J., Mulholland, A., & Gomatam, J. (2004). Existence and stability of reaction-diffusion waves on a fractal lattice. Chaos, Solitons and Fractals, 20(4), 799-814. https://doi.org/10.1016/j.chaos.2003.09.003