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 ...

Physicists analyzed the Rossler system, a well-known chaotic system which physicists have studied thoroughly for almost 40 years. Looking at this system from a fresh perspective, they discovered new ...

A process that seems to produce random outputs when repeated, but are not random. The difference is due to minute variations of the inputs that ultimately cause changes in the outputs. The classic ...

Synchronization, in which two different systems oscillate in an identical way, underlies numerous collective phenomena observed in nature, providing an example for emergent behaviors ranging from the ...

FIG. 1. (a) The attractor of the Ikeda map and a partial trajectory. States colored blue (orange) are measured as outcome A (B). The proposed method optimizes the measurement of a chaotic system using ...

Reservoir computing (RC) is among the most promising approaches for AI-based prediction models of complex systems. It combines superior prediction performance with very low CPU-needs for training.

Computers are great at creating order. But a recent study shows that they're poor at creating the exact opposite: chaos. It's beyond the ability of digital computers to reliably reproduce the behavior ...

This course explores dynamical systems and the various ways to use a computer to investigate their behavior. It covers the standard computational and analytical tools used in nonlinear dynamics, ...