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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.Arnold tongues 65 An example: periodic stimulation of atrial pacemaker cells 67 Phase and frequency locking: general formulation 67 An example: synchronization of a laser 69 Synchronization of relaxation oscillators: special features 71 Resetting by external pulses. ... 77 An example: synchronization of the songs of snowy tree crickets 78 Synchronization in the presence of noise 79 Phase diffusion in aanbsp;...

Author:Arkady Pikovsky, Michael Rosenblum, Jürgen Kurths
Publisher:Cambridge University Press - 2003-04-24


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