Cover; Half Title; Title Page; Copyright Page; Preface; Table of Contents; Order Parameter of Oscillators; 1 Introduction; 2 Linear and Nonlinear oscillators; 3 Spatially distributed oscillators; 4 Topological Defects in a CGL equation; 5 Defect-Dynamics in a CGL equation; 6 Conclusion; Pattern Formation and Pattern Recognition; 1 Introduction; 2 Order parameters and the slaving principle; 3 Some examples of formation of spatial patterns; 4 Generalized Ginzburg-Landau Equations; 5 Some examples from fluid dynamics; 6 Pattern recognition; Global Bifurcations in Finite Dimensional Flows
1 Introduction2 General principles of homoclinic bifurcations; 3 Examples; 4 Conclusion; Pattern Formation and Space-Time Organization in Nonlinear Optics; 1 Introduction; 2 Pattern formation and complexity; 3 Phase singularities, topological defects and turbulence; 4 Pattern formation and pattern competition; Instabilities and Quantum Noise Reduction in Nonlinear Optical Mixing; 1 Introduction; 2 FWM in longitudinal modes; 3 FWM in transverse plane-wave modes; 4 FWM in Gauss-Laguerre transverse modes; Complexity and Defects in Passive Nonlinear Optical Systems; 1 Introduction
2 Pattern formation in an optical cavity3 Mirror Feedback Systems; 4 Counterpropagation instabilities in a Kerr medium; 5 Conclusion; Deterministic Chaos and Nonlinear Dynamics in Nonlinear Optics; 1 Introduction; 2 Instabilities of counterpropagating laser beams; 3 Dynamics and instabilities in stimulated Brillouin scattering; Spatio-Temporal Structures in Wide Aperture Lasers; 1 Introduction; 2 Two level and Raman lasers: background theory; 3 Near and beyond threshold behavior: amplitude and phase equations; 4 Numerical simulations beyond threshold; 5 Conclusions
Nonlinear Dynamics of Semiconductor Laser Arrays1 Introduction; 2 Coupled-mode rate equations; 3 Stability boundaries for a two-emitter array; 4 Stability of three-emitter and larger arrays; 5 Phase-dynamical description of laser arrays; Transverse Structure Formation and Vortices in Lasers; 1 Introduction; 2 CGLE and vortex dynamics in class A lasers; 3 Beyond the CGLE; 4 Laser and hydrodynamics; 5 Vortices in class B lasers; 6 Conclusion; Amplification and Lasing without Inversion; 1 Introduction; 2 Atomic interference; 3 The Maxwell-Bloch equations; 4 Linear analysis; 5 Nonlinear analysis
6 The driven A and the h schemes7 The inversion problem; 8 Lasing without inversion; 9 Experimental results; Participant's addresses; Index
