The ability of machine learning (ML) models to “extrapolate” to situations outside of the
range spanned by their training data is crucial for predicting the long-term behavior of non …

We investigate the dynamics of a soliton that behaves as an extended particle. The soliton
motion in an effective bistable potential can be chaotic in a similar way as the Duffing …

We study persistence in coupled circle map lattices at the onset of spatio-temporal
intermittency, an onset which marks a continuous transition, in the universality class of …

Magnetic flux quanta, of value h/2 e, in long Josephson junctions behave as (quasi) solitons.
Fluxon dynamical states are well described by a perturbed sine-Gordon equation model …

In this thesis, we are interested in modeling (1) the long-term statistical behavior of non-
stationary dynamical systems, and (2) global weather patterns on the Subseasonal-to …

We show that a solid-state device, the long Josephson junction, behaves very much like
other turbulent systems exhibiting regimes of weak and hard turbulence. Because of the …

Chaos at and beyond onset is studied for nonequilibrium current-carrying dissipative states
in quasi-one-dimensional dirty superconductors. For the case of ac-driving currents, phase …

Biharmonic-driven long Josephson junctions are studied within the framework of a
perturbative approach for the motion of fluxons in the junctions. A thorough study of phase …

We study the dynamics of an ac and dc driven sine‐Gordon system extending over a finite
spatial interval. We use this system to model fluxon oscillations in long (one‐dimensional) …

An in depth study of temporal chaotic systems, both discrete and continuous, is presented.
The techniques for the characterization of chaotic attractors are: Lyapunov stability …