In this work, we have studied numerically the dynamics of the parametrically driven damped
nonlinear Schrödinger equation (PDDNLS). The PDDNLS is a universal model to describe …

Kinks are domain walls connecting symmetric equilibria and emerge in several branches of
science. Here, we report topological kinks connecting Faraday-type waves in a magnetic …

In a semiconductor laser with saturable absorber, solitons may spontaneously drift and/or
oscillate. We study three different regimes characterized by strong intensity oscillations, both …

We report a systematic investigation of the magnetic anisotropy effects observed in the
deterministic spin dynamics of a magnetic particle in the presence of a time-dependent …

We report the results of a systematic investigation of localized dynamical states in the model
of a one-dimensional magnetic wire, which is based on the Landau–Lifshitz–Gilbert (LLG) …

Particle-type solutions are observed in out-of-equilibrium systems. These states can be
motionless, oscillatory, or propagative depending on the injection and dissipation of energy …

Macroscopic systems with dissipation and time-modulated injection of energy,
parametrically driven systems, can self-organize into localized states and/or patterns. We …

Discrete dissipative coupled systems exhibit complex behavior such as chaos,
spatiotemporal intermittence, chimeras among others. We construct and investigate chimera …

The equivalence between different physical systems permits us to transfer knowledge
between them and to characterize the universal nature of their dynamics. We demonstrate …

Macroscopic extended systems with dissipation and injection of energy can exhibit
particlelike solutions. Dissipative kinks with an oscillatory cloak and a family of localized …