Chaos is a real physical challenge. It is unpredictable. Out of control. Yet, researchers seem to have uncovered one of its secrets. They think to figure out how to put a little order. And this could help them better understand the functioning … of our brain!
The chaos. For the common of mortals, it is synonymous with confusion, disorder. Les, they, have a very specific idea. A chaotic system behaves, according to those who study it, like an aléatoire system. He follows decisive laws well, his dynamics remain brought to change in a completely erroneous way. The famous « » which renders a chaotic system unpredictable. However, in the 1980s, researchers discovered that chaotic systems could synchronize. And today, des (Israel) try to explain to us how it is possible.
To be well understood, precisely as a matter of fact, chaos is not always as chaotic as that. It sometimes seems to be attracted by a certain form of order. In its error and without ever going through the same point twice, a chaotic system can make me want to focus on a particular geometric figure. Physicists call this figure a strange attraction that forms the states of such a system in an abstract space called phases.
Curiously, the foreign attractors of chaotic systems generally appear to be composed of several– these structures with motifs that repeat themselves and again at different levels. Different sets of states of a strange attractor will be part of different fractals. Thus, even if the chaotic system rises erratically from one state to another, these fractures will remain stable throughout the chaotic activity of the dudit system.
To better understand the functioning of our brain
And it’s goodof stable fractals which constitute, according to researchers at the University of Bar-Ilan, the key element that allows to synchronize. Take for example two different chaotic systems. If some fracture structures of one of the systems begin to take on a similar shape to those of the other, a weak coupling is created. And to the extent that the coupling is strengthened, it acts as one which constrained progressively more and more to become identical. The complete synchronization of systems can only occur when chaotic systems are strongly coupled. A phenomenon that physicians have baptized “Topological synchronization”.
These results help to understand how synchronization and self-organization can emerge from systems that did not have these properties initially. Until then, physicists have become accustomed to studying similar chaotic systems whose parameters differ only very little. Thanks to topological synchronization, researchers have been able to extend the study of synchronization to extreme cases of chaotic systems that present themselves with very different parameters.
And if you think that these works are a little too abstract for you, know that the notion of topological synchronization can finally help us understand how theone synchronizes with the other. There is indeed evidence that neuronal activity in is chaotic. If this is the case, topological synchronization can describe how synchronization emits the vast amount of neuronal activity of the by supporting stable fractal structures.