Large populations of interacting active elements, periodic or chaotic, can undergo spontaneous transitions to dynamically ordered states. These collective states are characterized by self-organized coherence revealed by full mutual synchronization of individual dynamics or the formation of multiple synchronous clusters. Such self-organization phenomena are essential for the functioning of complex systems of various origins, both natural and artificial. This book provides a detailed introduction to the theory of collective synchronization phenomena in large complex systems. Transitions to dynamical clustering and synchronized states are systematically discussed. Such concepts as dynamical order parameters, glass like behavior and hierarchical organization are presented.
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This book makes an additional contribution to the topic paying special attention to statistical concepts, such as nonequilibrium phase transitions, order parameters and dynamical glasses. Another distinguishing feature of the book is that it includes applications in chemistry, cell biology, and brain science. -- Zentralblatt MATH
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First Sentence:
Order is an essential property of Nature, and it is also a fundamental concept in science. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
globally coupled logistic maps, identical phase oscillators, phase synchronization transition, oscillation death, global delayed feedback, synchronous trajectory, globally coupled ensembles, coupled phase oscillators, electrochemical oscillators, coupled tent maps, dynamical glasses, globally coupled maps, infinitely large ensemble, coupling intensity, globally coupled system, longitudinal eigenvalue, synchronous state, full synchronization, synchronous clusters, identical natural frequencies, transversal eigenvalues, globally coupled oscillators, coupled chaotic oscillators, dynamical order, coupled chaotic systems Key Phrases - Capitalized Phrases (CAPs): (learn more)
Ramana Reddy New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Order is an essential property of Nature, and it is also a fundamental concept in science. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
globally coupled logistic maps, identical phase oscillators, phase synchronization transition, oscillation death, global delayed feedback, synchronous trajectory, globally coupled ensembles, coupled phase oscillators, electrochemical oscillators, coupled tent maps, dynamical glasses, globally coupled maps, infinitely large ensemble, coupling intensity, globally coupled system, longitudinal eigenvalue, synchronous state, full synchronization, synchronous clusters, identical natural frequencies, transversal eigenvalues, globally coupled oscillators, coupled chaotic oscillators, dynamical order, coupled chaotic systems Key Phrases - Capitalized Phrases (CAPs): (learn more)
Ramana Reddy New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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This book cites 14
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- From Cells to Societies by Alexander S. Mikhailov in Back Matter
- The Fractal Geometry of Nature by Benoit B. Mandelbrot in Back Matter
- Chemical Oscillations, Waves, and Turbulence (Dover Books on Chemistry) by Y. Kuramoto in Back Matter
- Chaotic Synchronization: Applications to Living Systems (World Scientific Series on Nonlinear Science, 42) by Erik Mosekilde in Back Matter
- The Geometry of Biological Time by Arthur T. Winfree in Back Matter
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