Emergence of Dynamical Order: Synchronization Phenomena in Complex Systems
World Scientific, 2004 - Mathematics - 348 pages
Synchronization processes bring about dynamical order and lead tospontaneous development of structural organization in complex systemsof various origins, from chemical oscillators and biological cells tohuman societies and the brain. This book provides a review and adetailed theoretical analysis of synchronization phenomena in complexsystems with different architectures, composed of elements withperiodic or chaotic individual dynamics. Special attention is paid tostatistical concepts, such as nonequilibrium phase transitions, orderparameters and dynamical glasses.
Heterogeneous Ensembles and the Effects of Noise
Arrays of LimitCycle Oscillators
Chaos and Synchronization
Synchronization in Populations of Chaotic Elements
Other editions - View all
amplitude array attractor average becomes bifurcation cells characterized chemical coherent collective behavior complex considered correlations corresponding coupled logistic maps coupled maps coupled oscillators coupling field coupling intensity coupling strength defined delays dependence distribution of natural domains dynamical system effective frequencies eigenvalues electrodes elements ensemble of identical entrained enzymes equation evolution feedback intensity fixed point fluctuations frequency synchronization full synchronization Ginzburg-Landau equation globally coupled logistic heterogeneous incoherent initial conditions interaction function intermittent interval Kaneko Kuramoto large number limit cycle limit-cycle oscillators linear Lyapunov exponent Manrubia matrix Mikhailov motion natural frequencies neurons noise observed orbit order parameter oscillation death oscillatory pair distances partition patterns perturbations phase difference phase oscillators phase synchronization Phys population quenched disorder random reaction regimes region Rössler oscillators saddle-node bifurcation shows signal solution spatial spin glasses stable statistical dispersion symmetry synchronization frequency tion trajectories transition transversal turbulence unstable values variables Zanette zero
Page 341 - Schuster, HG and Wagner, P. (1989). Mutual entrainment of two limit cycle oscillators with time delayed coupling, Prog.