Chaotic dynamical systems are characterised by their inherent unpredictability and extreme sensitivity to initial conditions. This behaviour, often termed the “butterfly effect”, means that small ...

Dynamical systems theory provides a rigorous mathematical framework to analyse how systems evolve over time, encompassing a diverse range of phenomena from simple periodic behaviour to highly complex, ...

Objection: Climate is an inherently chaotic system, and as such its behavior can not be predicted. Answer: Firstly, let's make sure we define climate: an average of weather patterns over some ...

Introduces undergraduate students to chaotic dynamical systems. Topics include smooth and discrete dynamical systems, bifurcation theory, chaotic attractors, fractals, Lyapunov exponents, ...

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 ...

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 ...

Can living neurons replace AI? A new study shows that biological neural networks (BNNs) can be trained to perform reservoir ...