Synchronization A Universal Concept in Nonlinear Sciences

ISBN-10: 052153352X

ISBN-13: 9780521533522

Edition: 2003

Authors: Arkady Pikovsky, Jurgen Kurths, Michael Rosenblum, Jï¿½rgen Kurths, Predrag Cvitanovic

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Description:

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 also outlined. The second half of the book presents the main effects of synchronization in a rigorous and systematic manner, describing both classical results on synchronization of periodic oscillators, and…

Book details

List price: $99.99
Copyright year: 2003
Publisher: Cambridge University Press
Publication date: 4/24/2003
Binding: Paperback
Pages: 432
Size: 6.69" wide x 9.57" long x 0.94" tall
Weight: 1.936
Language: English



Cycling attractors of coupled cell systems and dynamics with symmetry



Modelling diversity by chaos and classification by synchronization



Basic Principles of Direct Chaotic Communications



Prevalence of Milnor Attractors and Chaotic Itinerancy in 'High'-dimensional Dynamical Systems



Generalization of the Feigenbaum-Kadanoff-Shenker Renormalization and Critical Phenomena Associated with the Golden Mean Quasiperiodicity



Synchronization and clustering in ensembles of coupled chaotic oscillators



Nonlinear Phenomena in Nephron-Nephron Interaction



Synchrony in Globally Coupled Chaotic, Periodic, and Mixed Ensembles of Dynamical Units



Phase synchronization of regular and chaotic self-sustained oscillators



Control of dynamical systems via time-delayed feedback and unstable controller



Index