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

In] any piece of beautiful mathematics, you almost always find that there is a physical system which actually mirrors the ...

Prediction models constructed from state-space dynamics have a long and rich history, dating back to roulette and beyond. A major stumbling block in the application of these models in real-world ...

The course will survey methods for characterizing time-series data by reading primary literature and implementing and testing methods on synthetic data. Students will simulate time-series from a ...

Iteration of a rational function R gives a complex dynamical system on the Riemann sphere. We introduce a C*-algebra 𝓞R associated with R as a Cuntz-Pimsner algebra of a Hilbert bimodule over the ...

Researchers are using reaction networks and dynamical systems to study these hidden patterns in living systems: Reports ...