The emergence of patterns of activity on complex networks with reaction-diffusion dynamics on the nodes is studied. The transition is investigated between the single-node solutions, studied previously [Wolfrum, Physica D (2012)], and the fully developed global activation states (so called Turing states). Numerical continuation reveals snaking bifurcations connecting different solutions, similar to those found in reaction diffusion systems on regular lattice network topologies, shedding light on the origin of the multistable “Turing' patterns reported previously [Nakao & Mikhailov, Nature 2010].
|Publication status||Unpublished - 19 May 2015|
|Event||SIAM Conference on Applications of Dynamical Systems - Utah, Snowbird, USA United States|
Duration: 17 May 2005 → 21 Aug 2015
|Conference||SIAM Conference on Applications of Dynamical Systems|
|Country||USA United States|
|Period||17/05/05 → 21/08/15|
McCullen, N., Wolfrum, M., & Wagenknecht, T. (2015). Snaking on Networks: From Local Solutions to Turing Patterns. Poster session presented at SIAM Conference on Applications of Dynamical Systems, Snowbird, USA United States.