The idea of Global Coordinating Result from the Incomplete Identification of a Local Site

We studied the chemo-tactical behavior of an amoeboid multinuclear cell, Physarum polycephalum plasmodium, and observed a local deviation within the organism played the key role to escape from a severe environmental condition. The organism has been studied as coupled nonlinear oscillators system, which is one of the famous self-organizing system for the study of morphogenesis. Such a model frequently concentrated on cohesive force that makes the non-differential organism maintain as a single individual avoiding from separation. Deviation from cohesion is frequently regarded as extrinsic perturbation. However, the drastic change of development of the organism shown in our experiments cannot explain by the external stochastic perturbation. From experimental facts, we, by contrast, focused on the duality of cohesive and deviational force. We have constructed a new model introducing such a duality by an interface of a self-similar transition map, which is temporally constructed by neighbors'states. Because of such a non-differentiable transition map, even if an initial state of one element would be close to another one, the state transition of them is not always similar each other. Such a duality thus implies the idea of incomplete identification for an element that has just the limited information. We tested our model and showed the possibility that such an incomplete identification, by contrast, could drive the global coordinating featuring the plasticity as a single system.