Long-range interaction and synchronization of oscillating dissipative solitons.

Nonlinear quantum phenomena and biophysical aspects of complexity related to health and disease.

In this paper we discuss living systems as a non-linear self-interacting phenomenon, stabilized by the non-linear interaction between matter and self-created electromagnetic field. Such electromagnetic field can arise, in particular, as the radiation from electrosolitons which mediate the charge transport along macromolecules in metabolic redox processes. The non-linear nature of solitons resul...

Experimental evidence of dissipative spatial solitons in an optical passive Kerr cavity

We report on the first experimental evidence of localized structures (dissipative solitons) in a one-dimensional optical Fabry–Pérot passive Kerr cavity. The Kerr-like medium is a non-instantaneous, diffusive ultra-thin film of liquid crystal inserted in a low-finesse cavity. Solitons with oscillating tails are experimentally observed in this system that can lock together to form complexes of s...

Phase Tuning in Synchronization of Nonlinear Master-slave Oscillating Systems Using Decomposition Method

Frequency and phase locking of laser cavity solitons

Self-localized states or dissipative solitons have the freedom of translation in systems with a homogeneous background. When compared to cavity solitons in coherently driven nonlinear optical systems, laser cavity solitons have the additional freedom of the optical phase. We explore the consequences of this additional Goldstone mode and analyze experimentally and numerically frequency and phase...

Waves and solitons in complex plasmas

Complex (dusty) plasmas consist of micron sized microparticles immersed into ordinary ion-electron plasmas. They can exist in solid, liquid or gaseous states and exhibit a range of dynamic phenomena such as linear and nonlinear dust waves, solitons, shocks, Mach cones, heat transfer by phonons, flows, etc. We report on the experimental and numerical study of dissipative solitons in complex plas...