Synchronization: Theory and Application

by Arkady Pikovsky (Editor), Y. L. Maistrenko (Editor)

Overview

Synchronization is a universal phenomenon that is encountered in nature, science and engineering. The book presents a broad view of modern theoretical and experimental approaches to synchronization, especially in complex and chaotic systems, and its applications in life sciences and engineering. Contributors include applied mathematicians, physicists, biologists, and specialists in communications and control theory. The study of synchronization is presented in its many aspects: basic mathematical theory, numerical simulation of complex systems, applications of methods in theoretical physics, experimental implementation, and applications in engineering and life sciences.

Product Details

ISBN-13:	9781402014178
Publisher:	Springer Netherlands
Publication date:	06/30/2003
Series:	NATO Science Series II: Mathematics, Physics and Chemistry , #109
Edition description:	2003
Pages:	258
Product dimensions:	6.30(w) x 9.45(h) x 0.02(d)

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.

Professor Michael Rosenblum has been a research associate in Department of Physics, Potsdam University since
1997. His main research interests are the application of oscillation theory and nonlinear dynamics to biological systems and time series analysis. He was a Humboldt fellow at the Max-Planck research group on non-linear dynamics, and a visiting scientist at Boston University. Professor Rosenblum studied physics at Moscow Pedagogical University, and went on to work in the Mechanical Engineering Research Institute of USSR Academy of Sciences, obtaining a PhD in physics and mathematics.

Jurgen Kurths has been professor at the University of Potsdam and director of the Interdisciplinary Centre for Nonlinear Dynamics since
1994. He is a fellow of the American Physical Society and fellow of the Fraunhofer Society (Germany), and is currently the chairman for Nonlinear Processes in Geophysics and member of the council in Geophysics of the EuropeanGeophysical Society. In 2001 he will be a member of the Editorial Board of the Int. J. of Bifurcation and Chaos. Professor Kurths was director of the group for Nonlinear Dynamics of the Max-Planck Society from 1992-1996. He studied mathematics at Rostock University, and then went on to work at the Solar-Terrestrial Physics Institute, and later the Astrophysical Institute of GDR Academy of Sciences. He obtained his PhD in Physics, and started to work on nonlinear data analysis and chaos in
1984. His main research interests are nonlinear dynamics and their applications to geophysics and physiology and to time series analysis.

Table of Contents

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.