The spontaneous breaking of time-translation symmetry has led to the discovery of a new
phase of matter: the discrete time crystal. Discrete time crystals exhibit rigid subharmonic …

A liquid free surface in partially filled containers can experience a wide spectrum of motions
such as planar, non-planar, rotational, quasi-periodic, chaotic, and disintegration. Civil …

A simple generalization of the Swift-Hohenberg equation is proposed as a model for the
pattern-forming dynamics of a two-dimensional field with two unstable length scales. The …

A systematic experimental survey of both the primary patterns and the secondary instabilities
of parametrically forced surface waves (Faraday waves) in the large system limit is …

A nonlinear theory of pattern selection in parametric surface waves (Faraday waves) is
presented that is not restricted to small viscous dissipation. By using a multiple scale …

We report novel superlattice wave patterns at the interface of a fluid layer driven vertically.
These patterns are described most naturally in terms of two interacting hexagonal …

The observation of localized stationary structures, coined oscillons, in granular media has
evoked much interest. By parametric excitation of clay suspensions, we demonstrate a …

The interfacial dynamics of a sessile water drop was investigated experimentally. The low-
viscosity drop was forced by an underlying diaphragm driven vertically by a piezoelectric …

We present an experimental investigation of superlattice patterns generated on the surface
of a fluid via parametric forcing with two commensurate frequencies. The spatiotemporal …

We simulate numerically the full dynamics of Faraday waves in three dimensions for two
incompressible and immiscible viscous fluids. The Navier–Stokes equations are solved …