Pattern formation and competition occur in a nonlinear extended medium if dissipation
allows for attracting sets, independently of initial and boundary conditions. This intrinsic …

Chirality is an asymmetric property widely found in nature. Here, we propose and
demonstrate experimentally the spontaneous emergence of chirality in an on-chip ultrahigh …

Multi-cavity photonic systems, also known as photonic molecules, exhibit multi-well
potentials that may prove useful for advanced quantum and nonlinear optics,,,. A key …

Pattern formation in large aspect ratio, single longitudinal mode, two-level lasers with flat
end reflectors, operating near peak gain, is shown to be described by a complex Swift …

We study symmetry breaking of solitons in the framework of a nonlinear fractional
Schrödinger equation (NLFSE), characterized by its Lévy index, with cubic nonlinearity and …

Very pure optical helices have been generated in an argon ion laser of low Fresnel number.
The beam character, with continuous cophasal surface of helical form, is clearly …

The analysis of unstable phenomena in nonlinear optical systems has been the object of
intensive studies, both theoretical and experimental, in the last fifteen years (see for example …

In this paper we demonstrate experimentally the intra-cavity generation of a coherent
superposition of Laguerre–Gaussian modes of zero radial order but opposite azimuthal …

Publisher Summary This chapter focuses on the concept of optical pattern formation. The
field of optical pattern formation (OPF) studies the spatial and spatiotemporal phenomena …

Nonlinear Dynamics: A Two-Way Trip from Physics to Math provides readers with the
mathematical tools of nonlinear dynamics to tackle problems in all areas of physics. The …