Since the seminal studies by Osborne Reynolds in the nineteenth century, pipe flow has
served as a primary prototype for investigating the transition to turbulence in wall-bounded …

We show that turbulent dynamics that arise in simulations of the three-dimensional Navier-
Stokes equations in a triply periodic domain under sinusoidal forcing can be described as …

Confined active nematics exhibit rich dynamical behavior, including spontaneous flows,
periodic defect dynamics, and chaotic “active turbulence.” Here, we study these phenomena …

The subcritical transition to turbulence, as occurs in pipe flow, is believed to generically be a
phase transition in the directed percolation universality class. At its heart is a balance …

Data-driven dimensionality reduction methods such as proper orthogonal decomposition
and dynamic mode decomposition have proven to be useful for exploring complex …

Unpredictable dynamics arising from a sensitivity to initial conditions is commonly
associated with chaos. We demonstrate how similar unpredictability manifests in a nonlinear …

The recent classification of the onset of turbulence as a directed percolation (DP) phase
transition has been applied to all major shear flows including pipe, channel, Couette and …

This work is a unified study of stable and unstable steady states of 2D active nematic
channel flow using the framework of Exact Coherent Structures (ECSs). ECSs are stationary …

Transient chaos is very common in periodically forced dynamical systems, but transient
strange nonchaotic dynamics have not been studied by researchers. Therefore, it is …

The magnetised spherical Couette (MSC) problem, a three dimensional
magnetohydrodynamic paradigmatic model in geo-and astrophysics, is considered to …