Table Of Content

Contents Preface Part I. General Properties of Lattice Dynamical Systems Coupled map lattices: Some topological and ergodic properties L.A. Bunimovich Infinite-dimensional SRB measures J. Bricmont and A. Kupiainen Generalized phase transitions in finite coupled map lattices M. Blank Non-trivial collective behavior in coupled map lattices: A transfer operator perspective H. Chaté and J. Losson Dynamics of coarse-grained variables in spatially extended systems G. Nicolis, M. Op de Beeck and C. Nicolis Topological and measure-theoretic properties of one-dimensional cellular automata F. Blanchard, P. Kurka and A. Maass Quasilinear cellular automata C. Moore On the abundance of traveling waves in | D infinite cellular automata M. Courbage A new class of automata networks N. Boccara, H. Fuks and S. Geurten The topological skeleton of cellular automaton dynamics C. Domain and H. Gutowitz Computational mechanics of cellular automata: An example J.E. Hanson and J.P. Crutchfield Boltzmann-type equations for elementary reversible cellular automata S. Takesue Breathers in nonlinear lattices: Existence, linear stability and quantization S. Aubry Exact solutions in the FPU oscillator chain P. Poggi and S. Ruffo Part II. Phenomenology of Lattice Dynamical Systems Collective chaos and noise in the globally coupled complex Ginzburg-Landau equation M.-L. Chabanol, V. Hakim and W.-J. Rappel Power-law spatial correlations and the onset of individual motions in self-oscillatory media with non-local coupling Y. Kuramoto and H. Nakao Spatiotemporal dynamics of mesoscopic chaotic systems R. Kapral and X.-G. Wu Dynamics of chaos—order interface in coupled map lattices O. Rudzick, A. Pikovsky, C. Scheffczyk and J. Kurths ix x Contents Exotic reaction fronts in the steady state S. Cornell and M. Droz Chaotic properties of a one-dimensional Lorentz gas C. Appert, C. Bokel, J.R. Dorfman and M.H. Ernst Chaotic-like behaviour in chains of stable nonlinear oscillators R. Bonaccini and A. Politi Phase transitions in 2D linearly stable coupled map lattices Y. Cuche, R. Livi and A. Politi Mode-locking in coupled map lattices R. Carretero-Gonzalez, D.K. Arrowsmith and F. Vivaldi Wavelike patterns in one-dimensional coupled map lattices G. He, A. Lambert and R. Lima On stability of structures and patterns in extended systems L.A. Bunimovich, V. Franceschini, C. Giberti and C. Vernia Stability of spatio-temporal structures in a lattice model of pulse-coupled oscillators A. Diaz-Guilera, A. Arenas, A. Corral and C.J. Pérez Self-organized-criticality and synchronization in pulse coupled relaxation oscillator systems; the Olami, Feder and Christensen and the Feder and Feder model S. Bottani and B. Delamotte Synchronization in lattices of coupled oscillators V.S. Afraimovich, S.-N. Chow and J.K. Hale Adaptive synchronization of globally coupled chaotic oscillators using control in noisy environments B. Cazelles, G. Boudjema and N.P. Chau Part III. Related Models, Modeling, and Miscellaneous Works Non-trivial exponents in coarsening phenomena B. Derrida Critical growth phenomena in cellular automata K. Eloranta Infinite numbers of absorbing states: Critical behavior M.A. Mufioz, G. Grinstein, R. Dickman and R. Livi FKG inequalities in cellular automata and coupled map lattices I. Mezic Coupled maps with growth and death: An approach to cell differentiation K. Kaneko Coupled map lattices simulating hydrodynamical turbulence C. Beck Migration in cellular automata B. Schénfisch and C. Lacoursiére 537 Dvnamical phases in a cellular automaton model for epidemic propagation G. Rousseau, B. Giorgini, R. Livi and H. Chaté Parameter identification in noisy extended systems: A hydrodynamic case J.M. Fullana, M. Rossi and S. Zaleski Contents xi Quantum intermittency in almost-periodic lattice systems derived from their spectral properties G. Mantica 576 Solitary dilation waves in a circular array of liquid columns F. Giorgiutti and L. Limat 590 A novel integration scheme for partial differential equations: An application to the complex Ginzburg-Landau equation A. Torcini, H. Frauenkron and P. Grassberger 605 List of contributors 611