TY - BOOK ID - 30703510 TI - Synchronization : a universal concept in nonlinear sciences AU - Pikovsky, Arkady AU - Rosenblum, Michael AU - Kurths, J. PY - 2001 VL - 12 SN - 9786612389023 1282389025 0511642830 0511202148 0511077521 0511555946 0511755740 052153352X 0511075952 9780521533522 9780521592857 9780511755743 110711439X 9780511077524 9780511075957 0521592852 9781282389021 0521592852 6612389028 9780511642838 9780511202148 9780511555947 PB - Cambridge : Cambridge University Press, DB - UniCat KW - Synchronization. KW - Nonlinear theories. KW - Nonlinear problems KW - Nonlinearity (Mathematics) KW - Synchronism KW - Synchronisierung KW - Oszillator KW - Synchronization KW - Calculus KW - Mathematical analysis KW - Mathematical physics KW - Time measurements KW - Nonlinear theories KW - Mathematical control systems KW - Synchronisierung - Oszillator UR - https://www.unicat.be/uniCat?func=search&query=sysid:30703510 AB - First recognized in 1665 by Christiaan Huygens, synchronization phenomena are abundant in science, nature, engineering and social life. Systems as diverse as clocks, singing crickets, cardiac pacemakers, firing neurons and applauding audiences exhibit a tendency to operate in synchrony. These phenomena are universal and can be understood within a common framework based on modern nonlinear dynamics. The first half of this book describes synchronization without formulae, and is based on qualitative intuitive ideas. The main effects are illustrated with experimental examples and figures, and the historical development is outlined. The remainder of the book presents the main effects of synchronization in a rigorous and systematic manner, describing classical results on synchronization of periodic oscillators, and recent developments in chaotic systems, large ensembles, and oscillatory media. This comprehensive book will be of interest to a broad audience, from graduate students to specialist researchers in physics, applied mathematics, engineering and natural sciences. ER -