9. Chaos II: Orbits of ODE’s. Laser projector driven by ODE solver shows trajectories from various nonlinear ODE’s . (A wall-sized oscilloscope.) 10. Cloud chamber demonstrates need for nuclei, fog ...

We start by introducing a nonlinear involution operator which maps the space of solutions of Sturm-Liouville equations into the space of solutions of the associated equations which turn out to be ...

Thanks to these abilities, they can already topple complex linear differential equations exponentially faster than classical machines. Researchers have long hoped they could similarly tame nonlinear ...

Differential equations are commonly used to model dynamical deterministic systems in applications. When statistical parameter estimation is required to calibrate theoretical models to data, classical ...

The Hamiltonian structure of the traveling wave ODE accompanied by numerical computations of Floquet multipliers of periodic orbits reveals many such families of traveling waves. Moreover, each family ...