Turbulence, the complicated fluid behavior of nonlinear and statistical nature, arises in many
physical systems across various disciplines, from tiny laboratory scales to geophysical and …

We investigate the ability of simple diagnostics based on Lagrangian descriptor (LD)
computations of initially nearby orbits to detect chaos in conservative dynamical systems …

We provide a concise presentation of the Smaller (SALI) and the Generalized Alignment
Index (GALI) methods of chaos detection. These are efficient chaos indicators based on the …

In this work we employ a recently proposed bifurcation analysis technique, the deflated
continuation algorithm, to compute steady-state solitary waveforms in a one-component, two …

Abstract Implementing the Generalized Alignment Index (GALI) method of chaos detection
we investigate the dynamical behavior of the nonlinear disordered Klein–Gordon lattice …

In this article, we consider a four-dimensional singular differential system that can describe
the dynamics of configurations bearing a small number of vortices in atomic Bose-Einstein …

We numerically investigate an experimentally viable method for generating and
manipulating on-demand several vortices in a highly oblate atomic Bose-Einstein …

Summary Bose–Einstein Condensates (BECs) are superfluid systems consisting of bosonic
atoms that have been cooled and condensed into a single, macroscopic ground state …

We study the existence, stability, and dynamics of vortex dipole and quadrupole
configurations in the nonlinear Schrödinger (NLS) equation on the surface of a torus. For this …

We study the motion of a vortex dipole in a Bose--Einstein condensate confined to an
anisotropic trap. We focus on a system of ODEs describing the vortices' motion, which is in …