This book presents recent advances, new ideas and novel techniques related to the field of nonlinear dynamics, including localized pattern formation, self-organization and chaos. Various natural systems ranging from nonlinear optics to mechanics, fluids and magnetic are considered. The aim of this book is to gather specialists from these various fields of research to promote cross-fertilization and transfer of knowledge between these active research areas. In particular, nonlinear optics and laser physics constitute an important part in this issue due to the potential applications for all-optical control of light, optical storage, and information processing. Other possible applications include the generation of ultra-short pulses using all-fiber cavities.
Author(s): Mustapha Tlidi, Marcel G. Clerc
Series: Springer Proceedings in Physics
Publisher: Springer
Year: 2015
Language: English
Pages: 358
Tags: Statistical Physics, Dynamical Systems and Complexity; Laser Technology, Photonics; Physical Chemistry; Engineering Fluid Dynamics; Complexity
Front Matter....Pages i-xv
Front Matter....Pages 1-1
Visualisation of the Intensity and Phase Dynamics of Semiconductor Lasers via Electric Field Reconstructions....Pages 3-29
Coarsening Dynamics of Umbilical Defects in Inhomogeneous Medium....Pages 31-43
Spreading, Nonergodicity, and Selftrapping: A Puzzle of Interacting Disordered Lattice Waves....Pages 45-57
Nonlinear Dynamics of Vertical-Cavity Surface-Emitting Lasers: Deterministic Chaos and Random Number Generation....Pages 59-69
Experimental Observation of Front Propagation in Lugiato-Lefever Equation in a Negative Diffractive Regime and Inhomogeneous Kerr Cavity....Pages 71-85
Splitting, Hatching and Transformation of the Repetition Rate in a Mode- Locked Laser....Pages 87-95
Spontaneous Symmetry Breaking in Nonlinear Systems: An Overview and a Simple Model....Pages 97-112
Experimental Spatiotemporal Chaotic Textures in a Liquid Crystal Light Valve with Optical Feedback....Pages 113-124
Chiral Modes in 2D PT-Symmetric Nanostructures....Pages 125-138
Stabilization of Broad Area Semiconductor Amplifiers by Spatially Modulated Potentials....Pages 139-151
Weakly Nonlinear Analysis and Localized Structures in Nonlinear Cavities with Metamaterials....Pages 153-166
Secondary Instabilities and Chaos in Optical Ring Cavities....Pages 167-176
Front Matter....Pages 177-177
Hidden High Period Accelerator Modes in a Bouncer Model....Pages 179-191
How Dissipative Highly Non-linear Solitary Waves Interact with Boundaries in a 1D Granular Medium....Pages 193-198
Inviscid Transient Growth on Horizontal Shear Layers with Strong Vertical Stratification....Pages 199-206
Numerical Solution of a Novel Biofilm Growth Model....Pages 207-222
Dynamics of a One-Dimensional Kink in an Air-Fluidized Shallow Granular Layer....Pages 223-231
Measurements of Surface Deformation in Highly-Reflecting Liquid-Metals....Pages 233-245
Parametric Phenomena in Magnetic Nanostripes....Pages 247-259
Hyper-Chaotic and Chaotic Synchronisation of Two Interacting Dipoles....Pages 261-272
Front Matter....Pages 273-273
Finger Dynamics in Pattern Forming Systems....Pages 275-291
Random Walk Model for Kink-Antikink Annihilation in a Fluctuating Environment....Pages 293-302
Time-Periodic Forcing of Spatially Localized Structures....Pages 303-316
Formation and Interaction of Two-Kink Solitons....Pages 317-327
Around the Ising Model....Pages 329-345
Nonequilibrium Trade-Investment Model for the Ranked Distribution of Gross Domestic Products Per-capita....Pages 347-357
Back Matter....Pages 359-361
