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Apr 22, 2022

Topological synchronization of chaotic systems

Posted by in categories: biological, physics

Can we find order in chaos? Physicists have shown, for the first time that chaotic systems can synchronize due to stable structures that emerge from chaotic activity. These structures are known as fractals, shapes with patterns which repeat over and over again in different scales of the shape. As chaotic systems are being coupled, the fractal structures of the different systems will start to assimilate with each other, taking the same form, causing the systems to synchronize.

If the systems are strongly coupled, the structures of the two systems will eventually become identical, causing complete synchronization between the systems. These findings help us understand how synchronization and can emerge from systems that didn’t have these properties to begin with, like chaotic systems and .

One of the biggest challenges today in physics is to understand chaotic systems. Chaos, in physics, has a very specific meaning. Chaotic systems behave like random systems. Although they follow deterministic laws, their dynamics still will change erratically. Because of the well-known “butterfly effect” their future behavior is unpredictable (like the weather system, for example).

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