http://popups.lib.uliege.be/1373-5411/index.php?id=905 Index terms fr 0 http://popups.lib.uliege.be/1373-5411/index.php?id=903 We consider two examples of extended media under the influence of additive noise: a coupled stochastic oscillators and spatial nonlinear lattice which contains overdamped oscillators. In both systems role of the additive noise is crucial. In the first system additive noise increases signal to noise ratio, resulting in stochastic resonance. In the second system additive noise causes phase transition manifesting itself in the formation of ordered spatial patterns. Surprisingly, we find parallels between two phenomena considered. Mon, 01 Jul 2024 14:06:14 +0200 Tue, 08 Oct 2024 14:13:06 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=903 http://popups.lib.uliege.be/1373-5411/index.php?id=1487 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. Fri, 12 Jul 2024 15:15:39 +0200 Tue, 08 Oct 2024 13:48:55 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=1487