Context. Helicity is a fundamental property of magnetic fields, conserved in ideal MHD. In
flux rope geometry, it consists of twist and writhe helicity. Despite the common occurrence of …

The paper describes the unique geometric properties of ideal magnetohydrodynamics
(MHD), and demonstrates how such features are inherited by extended MHD, viz. models …

A measure of the writhing of a curve is introduced and is used to extend the Călugăreanu
decomposition for closed curves, as well as the polar decomposition for curves bound …

We employ reconnection-capable, vortex filament methods and finite-volume, Navier–
Stokes flow solvers to investigate the topological and helicity dynamics of vortex links for …

Context. Magnetic helicity is approximately conserved in resistive magnetohydrodynamic
models. It quantifies the entanglement of the magnetic field within the plasma. The transport …

Based on the original stretch-twist-fold flow, we propose a unified stretch–twist–fold (USTF)
flow. We explore the conditions that zero-Hopf bifurcation occurs at the origin. Using the first …

We consider a geometrically accurate model for a helically wound rope constructed from two
intertwined elastic rods. The line of contact has an arbitrary smooth shape which is obtained …

This thesis concerns a functional linear operator called the Stretch-Fold-Shear (SFS)
operator, which arises from a stylized model in kinematic dynamo theory. A dynamo is the …

Magnetic helicity, the measure of entanglement within a magnetic field, has the capability to
further our knowledge of the magnetic fields which are ubiquitous across the physical …

Context. Magnetic helicity is approximately conserved in resistive MHD models. It quantifies
the entanglement of the magnetic field within the plasma. The transport and removal of …