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...

This review volume is devoted to a discussion of analogies and differences of complex production systems - natural, as in biological cells, or man-made, as in economic systems or industrial production. Taking this unified look at production is based on two observations: Cells and many biological networks are complex production units that have evolved to solve production problems in a reliable and optimal way in a highly stochastic environment. On the other hand, industrial production is becoming increasingly complex and often hard to predict. As a result, modeling and control of such...

This book combines lecture notes from the 19th Canberra Intentional Summer School on Turbulence and Coherent Structures in Fluids, Plasma and Granular Flows as well as selected papers from the accompanying workshop on the same topic. Modern concepts, tools and approaches to studying turbulence and coherent structures are introduced by world-class experts in several fields. The book covers theoretical approaches, numerical modeling and experimental methods in quasi-two-dimensional geophysical flows (such as oceans and atmospheres), turbulence and structures in ionized gases (such as magnetized...

Theoretical mathematical models are perhaps one of the most powerful approaches available for increasing our understanding of the complex population dynamics in these natural systems. This work is a collection of review articles devoted to the modeling of ecological, epidemiological and evolutionary systems.

The science of complex materials continues to engage researchers from a vast range of disciplines, including physics, mathematics, computational science, and virtually all domains of engineering. This volume presents a multidisciplinary panorama of the research in complex materials.

Networked systems are all around us. The accumulated evidence of systems as complex as a cell cannot be fully understood by studying only their isolated constituents, giving rise to a new area of interest in research the study of complex networks. In a broad sense, biological networks have been one of the most studied networks, and the field has benefited from many important contributions. By understanding and modeling the structure of a biological network, a better perception of its dynamical and functional behavior is to be expected. This unique book compiles the most relevant results and...

Covers various applications of complex systems science, including: extraterrestrial - astrophysical, solar and space plasmas; earth system - climate, ecosystems; and, human systems - brain dynamics, social networks, financial statistics, advanced technologies. This book is suitable for those seeking an overview of complex systems science.

An introduction to modern research directions and scholarship in nonlinear dynamics, aimed at the beginning postgraduate student. In addition to pedagogical material, each chapter provides a review of the current state of the area and a discussion on open problems.