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.
Part 1 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 and 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 and J.C. Sartorelli; patterns in a nonlinear optical system, F.T. Arecchi and P.L. Ramazza; bifurcation behaviour of a superlattice model, J. Galan et al; delayed dynamics systems with variable delay, S. Madruga et al; stability of hexagonal patterns in a generalized Swift-Hohenberg equation, B. Pena et al; Rayleigh-Benard convective instabilties in nematic liquid crystals, J. Salan and I. Bove; topological analysis in a dripping faucet experiment, M.B. Reyes and J.C. Sartorelli. Part 2 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 and 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 and F.T. Arecchi; communication with chaos - reconstructing information-carrying signals, I.P. Marinon et al.