Synchronization: A Universal Concept in Nonlinear Sciences (Cambridge Nonlinear Science Series, Series Number 12) - Hardcover

Pikovsky, Arkady; Rosenblum, Michael; Kurths, Jürgen

Hardcover

ISBN 10: 0521592852 ISBN 13: 9780521592857

Publisher: Cambridge University Press, 2001

Synopsis

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 recent developments in chaotic systems, large ensembles, and oscillatory media.

About this title

Book Description

Synchronization phenomena are abundant in science, nature, engineering and social life. Systems as diverse as clocks, singing crickets, cardiac pacemakers and applauding audiences exhibit a tendency to operate in synchrony. This universal phenomenon can be understood within a common framework based on modern nonlinear dynamics. The book describes synchronization first without formulae, using experimental examples, and then in a rigorous and systematic manner, describing both classical results and recent developments. This comprehensive text will be of interest to graduate students and specialist researchers.

About the Author

Arkady Pikovsky was part of the Max-Planck research group on nonlinear dynamics, before becoming a professor at the University of Potsdam, Germany. A member of the German and American Physical Societies, he is also part of the Editorial Board of Physical Reviews E for the term 2000-2002. Before this, he was a Humboldt fellow at University of Wuppertal. His PhD focusses on the theory of chaos and nonlinear dynamics, and was carried out at the Institute of Applied Physics of the USSR Academy of Sciences. Arkady Pikovsky studied radiophysics and physics at Gorky State University, and started to work on chaos in 1976, describing an electronic device generating chaos in his Diploma thesis and later proving it experimentally.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2001
• ISBN 10: 0521592852
• ISBN 13: 9780521592857
• Binding: Hardcover
• Language: English
• Number of pages: 432