Synchronization

From Simple to Complex

Alexander Balanov, Natalia Janson, Dmitry Postnov, Olga Sosnovtseva (Autoren)

Buch | Softcover

XIV, 426 Seiten

2010 | 1. Softcover reprint of hardcover 1st ed. 2009
Springer Berlin (Verlag)
978-3-642-09128-5 (ISBN)

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This fascinating work is devoted to the fundamental phenomenon in physics synchronization that occurs in coupled non-linear dissipative oscillators. Examples of such systems range from mechanical clocks to population dynamics, from the human heart to neural networks. The main purpose of this book is to demonstrate that the complexity of synchronous patterns of real oscillating systems can be described in the framework of the general approach, and the authors study this phenomenon as applied to oscillations of different types, such as those with periodic, chaotic, noisy and noise-induced nature.

Synchronization: From Simple to Complex is devoted to the fundamental phenomenon in physics - synchronization that occurs in coupled non-linear dissipative oscillators. Examples of such systems range from mechanical clocks to population dynamics, from human heart to neural networks. The authors study this phenomenon as applied to oscillations of different nature such as those with periodic, chaotic, noisy and noise-induced nature, reveal the general mechanisms behind synchronization, and bring to light other important effects that accompany synchronization such as phase multistability, dephasing and multimode interaction. The main purpose of this book is to demonstrate that the complexity of synchronous patterns of real oscillating system can be described in the framework of the general approach.

Alexander Balanov: graduated from Saratov State University (Russia) in 1995 (MSc in Physics), after graduation worked as a Research Engineer in the Laboratory of Nonlinear Dynamics in Saratov State University, in 2000 got his PhD from the same University, in 2000-2003 worked as a Research Associate in the Department of Physics in Lancaster University (UK), since 2003 until now is a Research Fellow in the Insitute of Theoretical Physics at Technical University Berlin (Germany). Natalia Janson: graduated from Saratov State University (Russia) in 1993 (MSc in Physics); in 1993-1997 was a PhD student in Saratov State University, after obtaining her PhD in 1997 worked as an Assistant Professor in the Physics Department of Saratov State University until 2000; in 2000-2003 was a Research Associate in the Department of Physics in Lancaster University (UK); 2003-now is a Lecturer in the Department of Mathematical Science in Loughborough University (UK). Dmitry Postnov: graduated from Saratov State University (Russia) in 1983 (MSc in Physics); after graduation worked as a Research Engineer at the Radiophysics Chair at the Department of Physics of Saratov State University, in 1990 got his PhD from the same University, in 1991--2000 worked as an Assistant and then as an Associate Professor at the Department of Physics; in 2001 got a degree of Doctor of Science and became Full Professor at the same department of Saratov State University. Olga Sosnovtseva: graduated from Saratov State University (Russia) in 1989 (MSc in Physics); after graduation worked as a Research Engineer at the Institute of Mechanics and Physics, Saratov State University; in 1992-1996 was a PhD student at Saratov State University, after obtaining her PhD in 1996 worked as an Assistant Professor in the Physics Department of the same university until 2000; in 2001-2004 was an Assistant Professor at Physics Department in Technical University of Denmark, since 2005 until now is an Associate Professor in Biophysics, Complex Systems and Biophysics Group, Technical University of Denmark.

General Mechanisms of Synchronization.- General Remarks.- 1?:?1 Forced Synchronization of Periodic Oscillations.- 1?:?1 Mutual Synchronization of Periodic Oscillations.- Homoclinic Mechanism of Synchronization of Periodic Oscillations.- n?:?m Synchronization of Periodic Oscillations.- 1?:?1 Forced Synchronization of Periodic Oscillations in the Presence of Noise.- Chaos Synchronization.- Synchronization of Noise-Induced Oscillations.- Conclusions to Part I.- Case Studies in Synchronization.- Synchronization of Anisochronous Oscillators.- Phase Multistability.- Synchronization in Systems with Complex Multimode Dynamics.- Synchronization of Systems with Resource Mediated Coupling.- Conclusions to Part II.

From the reviews: "The book combines an introduction to synchronization phenomena with the presentation of some classical results ... and of the recent contributions of the authors to the popular and rapidly developing field ... . can be recommended as a first reading for graduate and postgraduate students." (Michael Rosenblum, Mathematical Reviews, Issue 2010 b)

From the reviews: “The book combines an introduction to synchronization phenomena with the presentation of some classical results … and of the recent contributions of the authors to the popular and rapidly developing field … . can be recommended as a first reading for graduate and postgraduate students.” (Michael Rosenblum, Mathematical Reviews, Issue 2010 b)

Erscheint lt. Verlag	30.11.2010
Reihe/Serie	Springer Series in Synergetics
Zusatzinfo	XIV, 426 p. 237 illus., 4 illus. in color.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	655 g
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Naturwissenschaften ► Physik / Astronomie ► Astronomie / Astrophysik
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
	Naturwissenschaften ► Physik / Astronomie ► Thermodynamik
	Technik
Schlagworte	Bifurcations • Chaos • Complexity • Dynamics • Natur • Network • Noise-induced oscillations • Nonlinear Dynamics • Oscillation • Phase • Physics • Synchronization
ISBN-10	3-642-09128-8 / 3642091288
ISBN-13	978-3-642-09128-5 / 9783642091285
Zustand	Neuware