This book provides a comprehensive overview of the topics related to characterization, control and synchronization of complex spatiotemporal phenomena, from both a theoretical and an experimental point of view. It describes applications of these processes in applied mathematics, signal analysis, nonlinear optics, fluid dynamics, chemical reactions, electronic circuits, etc.

Contents:

• Analysis and Characterization of Chaotic, Complex and Space Extended Systems:
• Non-Stationary as an Embedding Problem (M Small et al.)
• Nonlinear Dynamics and Time Series Analysis: A Basic Introduction (E J Kostelich)
• Fixed Point Analysis: Dynamics of Non-Stationary Spatiotemporal Signals (A Hutt & F Kruggel)
• Complex-Valued Second Difference as a Measure of Stabilization of Complex Dissipative Statistical Systems: Girko Ensemble (M M Duras)
• Study of a C-Integrable Partial Differential Equation (A di Garbo et al.)
• Wave Patterns in Coupled Map Lattices (P G Lind et al.)
• Chaos in Air Bubble Formation (A Tufaile & J C Sartorelli)
• Patterns in a Nonlinear Optical System (F T Arecchi & P L Ramazza)
• Bifurcation Behavior of a Superlacttice Model (J Galán et al.)
• Delayed Dynamical Systems with Variable Delay (S Madruga et al.)
• Stability of Hexagonal Patterns in a Generalized Swift-Hohenberg Equation (B Peña et al.)
• Rayleigh–Bénard Convective Instabilities in Nematic Liquid Crystals (J Salán & I Bove)
• Topological Analysis in a Dripping Faucet Experiment (M B Reyes & J C Sartorelli)
• Control and Synchronization of Chaos and Space Time Chaos:
• The Breakdown of Synchronization and Shadowing in Coupled Chaotic Systems: Analysis via the Subsystem Decomposition (E Barreto & P So)
• Anticipating Chaotic Synchronization — An Overview (H U Voss)
• Phase Synchronization in Chaotic Convection (D Maza et al.)
• A Simple Use of the Diffusion Approximation for Treating Roundoff-Induced Problems in Coupled Maps with an Invariant Subset (G Santoboni et al.)
• Out-of-Phase vs In-Phase Synchronization of Two Parametrically Excited Pendula (A G de Oliveira et al.)
• Experiments on Chaos Control in Lasers (R Meucci & F T Arecchi)
• Communication with Chaos: Reconstructing Information-Carrying Signals (I P Mariñon et al.)