“One of the most surprising predictions of modern quantum theory is that the vacuum of space is not empty. In fact, quantum theory predicts that it teems with virtual particles flitting in and out of ...

Covers dynamical systems defined by mappings and differential equations. Hamiltonian mechanics, action-angle variables, results from KAM and bifurcation theory, phase plane analysis, Melnikov theory, ...

Physicists have proven -- numerically and experimentally -- that turbulence in fluid flows can be understood and quantified with the help of a small set of special solutions that can be precomputed ...

A research team has developed a novel method for estimating the predictability of complex dynamical systems. Their work, "Time-lagged recurrence: A data-driven method to estimate the predictability of ...

A system of equations where the output of one equation is part of the input for another. A simple version of a dynamical system is linear simultaneous equations. Non-linear simultaneous equations are ...

Amie Wilkinson is an explorer. Instead of seeking uncharted land, she’s after undiscovered mathematical worlds — complex systems of motion that unfold in unexpected ways. As a professor at the ...