Complex dynamical networks are ubiquitous in many fields of science from engineering to biology, physics, and sociology. Collective behavior, and in particular synchronization, is one of the most interesting consequences of interaction of dynamical systems over complex networks. Analyzing statistical and dynamical properties of complex networks may lead us to understand them deeper. This book discuses the problem of synchronizability in dynamical networks and gives some possible interpretations of that. Various methods for enhancing the synchronizability of dynamical networks through link weighting or rewiring is addressed. The book also studies the synchronization phenomenon in networks of model neurons and gives a simple model for investigating the behavior of interacting locally synchronized gamma oscillations. In the last section of the book the interdependencies within the time series obtained through electroencephalography is studied. Proper synchronization measures are introduced electroencephalography-specific maps for patients suffering from schizophrenia or Alzheimer's disease are obtained.
Complex dynamical networks are ubiquitous in many fields of science from engineering to biology, physics, and sociology. Collective behavior, and in particular synchronization, is one of the most interesting consequences of interaction of dynamical systems over complex networks. Analyzing statistical and dynamical properties of complex networks may lead us to understand them deeper. This book discuses the problem of synchronizability in dynamical networks and gives some possible interpretations of that. Various methods for enhancing the synchronizability of dynamical networks through link weighting or rewiring is addressed. The book also studies the synchronization phenomenon in networks of model neurons and gives a simple model for investigating the behavior of interacting locally synchronized gamma oscillations. In the last section of the book the interdependencies within the time series obtained through electroencephalography is studied. Proper synchronization measures are introduced electroencephalography-specific maps for patients suffering from schizophrenia or Alzheimer's disease are obtained.
This book is mainly focused on the global impulsive synchronization of complex dynamical networks with different types of couplings, such as general state coupling, nonlinear state coupling,...
This book brings together two emerging research areas: synchronization in coupled nonlinear systems and complex networks, and study conditions under which a complex network of dynamical systems...
This book introduces recent results on output synchronization of complex dynamical networks with single and multiple weights. It discusses novel research ideas and a number of definitions in complex...
This work systematically investigates a large number of oscillatory network configurations that are able to describe many real systems such as electric power grids, lasers or even the heart muscle,...
Network synchronization deals with the distribution of time and frequency across a network of clocks often spread over a wide geographical area. The goal is to align (i.e. synchronize) the time and...
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