The occurrence of extreme events in a spatially extended microcavity laser has been
recently reported [Selmi, Phys. Rev. Lett. 116, 013901 (2016) PRLTAO 0031-9007 …

The purpose of this article is twofold. Firstly, to investigate the formation of localized
spatiotemporal chaos in the complex cubic Ginzburg–Landau equation including nonlinear …

We propose a route to spatiotemporal chaos for one-dimensional stationary patterns, which
is a natural extension of the quasiperiodicity route for low-dimensional chaos to extended …

We investigate properties of oscillatory dissipative solitons (DSs) in a cubic complex
Ginzburg-Landau equation stabilized by nonlinear gradient terms. As a main result we find a …

We review the work on exploding dissipative solitons in one and two spatial dimensions.
Features covered include: the transition from modulated to exploding dissipative solitons …

Macroscopic systems subjected to injection and dissipation of energy can exhibit complex
spatiotemporal behaviors as result of dissipative self-organization. Here, we report a one …

We show evidence of the frozen dynamics (Kibble-Zurek mechanism) at the transition one-
dimensional (1D) front of an extended 1D array of convective oscillators that undergo a …

We describe the stable existence of quasi-one-dimensional solutions of the two-dimensional
cubic-quintic complex Ginzburg-Landau equation for a large range of the bifurcation …

Small-sized systems exhibit a finite number of routes to chaos. However, in extended
systems, not all routes to complex spatiotemporal behavior have been fully explored …

We study the interaction of quasi-one-dimensional (quasi-1D) dissipative solitons (DSs).
Starting with quasi-1D solutions of the cubic-quintic complex Ginzburg-Landau (CGL) …