The long-wavelength physics of monolayer graphene in the presence periodic strain fields has a natural chiral scattering network description. When field varies slowly compared to lattice and effective magnetic length induced valley pseudomagnetic field, low-energy can be understood terms valley-polarized percolating domain-wall modes. Inspired by recent experiment, we consider with threefold ro...

We review some recent results surrounding a general mechanism for producing chaotic behavior in periodically kicked oscillators. The key geometric ideas are illustrated via a simple linear shear model.

Floquet theory provides rigorous foundations for the theory of periodically driven quantum systems. In the case of non-periodic driving, however, the situation is not so well understood. Here, we provide a critical review of the theoretical framework developed for quasi-periodically driven quantum systems. Although the theoretical footing is still under development, we argue that quasiperiodica...