We consider continuous time-crystalline phases in dissipative many-body systems of atoms
in cavities, focusing on the role of short-range interatomic interactions. First, we show that …

This work deals with planar dynamical systems with and without noise. In the first part, we
seek to gain a refined understanding of such systems by studying their differential-geometric …

We explore self-induced parametric coupling, also called internal resonances (IRs), in a
membrane nanoelectromechanical system. Specifically, we focus on the formation of a limit …

Periodically-driven systems engender a rich competition between the time scales of the
drives and those of the system, leading to a limited ability to describe the system in full. We …

The combination of a strong pump and a weak probe has been widely applied to investigate
both optical and nanomechanical devices. Such pump-probe measurements allows for the …

This work is concerned with features of planar dynamical systems governed by a smooth
velocity field and additive white noise. By Helmholtz's theorem, the system's velocity field …