# Localized structures in dissipative media: from optics to plant ecology

@article{Tlidi2014LocalizedSI, title={Localized structures in dissipative media: from optics to plant ecology}, author={Mustapha Tlidi and Kȩstutis Staliūnas and Krassimir Panajotov and Andrei G. Vladimirov and Marcel G. Clerc}, journal={Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences}, year={2014}, volume={372} }

Localized structures (LSs) in dissipative media appear in various fields of natural science such as biology, chemistry, plant ecology, optics and laser physics. The proposal for this Theme Issue was to gather specialists from various fields of nonlinear science towards a cross-fertilization among active areas of research. This is a cross-disciplinary area of research dominated by nonlinear optics due to potential applications for all-optical control of light, optical storage and information…

## 87 Citations

Polarisation properties of cavity solitons in VCSELs: Theory and experiment

- Physics2017 Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference (CLEO/Europe-EQEC)
- 2017

Localized structures often called cavity solitons in optics have been observed in various systems of nonlinear science such as chemistry, physics, plant ecology and optics [1]. Scalar cavity solitons…

Topology of energy fluxes in vortex dissipative soliton structures

- Physics
- 2016

We consider and compare two-dimensional dissipative vortex solitons and their complexes in wide-aperture lasers and in exciton–polariton lasers; there is an incoherent pump and saturable absorption…

Observation and modelling of vegetation spirals and arcs in isotropic environmental conditions: dissipative structures in arid landscapes

- Environmental SciencePhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
- 2018

It is reported for the first time on the formation of spirals like vegetation patterns in isotropic and uniform environmental conditions and the predictions provided by the theory are illustrated by recent measurements of peculiar plant morphology.

Stationary localized structures and the effect of the delayed feedback in the Brusselator model

- MathematicsPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
- 2018

This paper investigates the formation of stationary localized structures in the Brusselator model and establishes a bifurcation diagram showing the emergence of localized spots, and incorporates delayed feedback control.

Laser solitons: topological and quantum phenomena

- PhysicsUspekhi Fizicheskih Nauk
- 2020

A review of the properties of dissipative solitons with different dimensions and various topological characteristics in lasers and laser systems with saturable absorption is presented. Unlike…

Nonlocal Raman response in Kerr resonators: Moving temporal localized structures and bifurcation structure.

- PhysicsChaos
- 2020

The detailed derivation of the speed and the width associated with these structures is presented and numerically in detail the bifurcation structure and stability associated with the moving temporal localized states are characterized.

Introduction to Focus Issue: Instabilities and nonequilibrium structures.

- PhysicsChaos
- 2020

This Focus Issue on instabilities and nonequilibrium structures includes invited contributions from leading researchers across many different fields and addresses a cross-disciplinary area of research as can be witnessed by the diversity of systems considered from inert matter such as photonics, chemistry, and fluid dynamics, to biology.

Generation of ring-shaped optical vortices in dissipative media by inhomogeneous effective diffusion

- Physics
- 2018

By means of systematic simulations, we demonstrate generation of a variety of ring-shaped optical vortices (OVs) from a two-dimensional input with embedded vorticity, in a dissipative medium modeled…

Swift-Hohenberg equation with third-order dispersion for optical fiber resonators

- PhysicsPhysical Review A
- 2019

We investigate the dynamics of a ring cavity made of photonic crystal fiber and driven by a coherent beam working near the resonant frequency of the cavity. By means of a multiple-scale reduction of…

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