Takashi Shimada (University of Tokyo)
Thursday 2017-07-20 14.15 – 14.45
Lecture room AS3, TUAS-building
SOC and non-SOC behaviors in simple models of evolving systems
For understanding of evolving systems, the robustness is one of the most essential property. The self-organized-criticality, which argue the system’s nature to evolve toward a critical state, is a famous example.
Recently a new type of mechanism of governing the robustness of evolving open systems was found using a simple graph dynamics model (EOS model). However, the EOS model does not show any critical property. To fill the gap between these two distinct classes of mathematical processes, here we consider the EOS model with an SOC-model-like node deletion rule: node with minimum fitness is replaced by a new node and hence the system size is kept constant. It will be shown that the modified EOS model shows critical and non-critical behavior depending on the number of interactions per element.