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Self Organized Criticality
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Book Synopsis Self-Organized Criticality by : Henrik Jeldtoft Jensen
Download or read book Self-Organized Criticality written by Henrik Jeldtoft Jensen and published by Cambridge University Press. This book was released on 1998 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: A clear and concise introduction to this new, cross-disciplinary field.
Download or read book How Nature Works written by Per Bak and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: Self-organized criticality, the spontaneous development of systems to a critical state, is the first general theory of complex systems with a firm mathematical basis. This theory describes how many seemingly desperate aspects of the world, from stock market crashes to mass extinctions, avalanches to solar flares, all share a set of simple, easily described properties. "...a'must read'...Bak writes with such ease and lucidity, and his ideas are so intriguing...essential reading for those interested in complex systems...it will reward a sufficiently skeptical reader." -NATURE "...presents the theory (self-organized criticality) in a form easily absorbed by the non-mathematically inclined reader." -BOSTON BOOK REVIEW "I picture Bak as a kind of scientific musketeer; flamboyant, touchy, full of swagger and ready to join every fray... His book is written with panache. The style is brisk, the content stimulating. I recommend it as a bracing experience." -NEW SCIENTIST
Book Synopsis Self-Organized Criticality in Earth Systems by : Stefan Hergarten
Download or read book Self-Organized Criticality in Earth Systems written by Stefan Hergarten and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Self-organized criticality (SOC) has become a magic word in various scientific disciplines; it provides a framework for understanding complexity and scale invariance in systems showing irregular fluctuations. In the first 10 years after Per Bak and his co-workers presented their seminal idea, more than 2000 papers on this topic appeared. Seismology has been a field in earth sciences where the SOC concept has already deepened the understanding, but there seem to be much more examples in earth sciences where applying the SOC concept may be fruitful. After introducing the reader into the basics of fractals, chaos and SOC, the book presents established and new applications of SOC in earth sciences, namely earthquakes, forest fires, landslides and drainage networks.
Book Synopsis Self-Organized Criticality in Astrophysics by : Markus Aschwanden
Download or read book Self-Organized Criticality in Astrophysics written by Markus Aschwanden and published by Springer Science & Business Media. This book was released on 2011-01-11 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Markus Aschwanden introduces the concept of self-organized criticality (SOC) and shows that due to its universality and ubiquity it is a law of nature for which he derives the theoretical framework and specific physical models in this book. He begins by providing an overview of the many diverse phenomena in nature which may be attributed to SOC behaviour. The author then introduces the classic lattice-based SOC models that may be explored using numerical computer simulations. These simulations require an in-depth knowledge of a wide range of mathematical techniques which the author introduces and describes in subsequent chapters. These include the statistics of random processes, time series analysis, time scale distributions, and waiting time distributions. Such mathematical techniques are needed to model and understand the power-law-like occurrence frequency distributions of SOC phenomena. Finally, the author discusses fractal geometry and scaling laws before looking at a range of physical SOC models which may be applicable in various aspects of astrophysics. Problems, solutions and a glossary will enhance the pedagogical usefulness of the book. SOC has been receiving growing attention in the astrophysical and solar physics community. This book will be welcomed by students and researchers studying complex critical phenomena.
Book Synopsis Self-Organised Criticality by : Gunnar Pruessner
Download or read book Self-Organised Criticality written by Gunnar Pruessner and published by Cambridge University Press. This book was released on 2012-08-30 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: An overview of results and methods, written for graduates and researchers in physics, mathematics, biology, sociology, finance, medicine and engineering.
Book Synopsis Self-Organized Criticality, Three Decades Later by : Subhrangshu Sekhar Manna
Download or read book Self-Organized Criticality, Three Decades Later written by Subhrangshu Sekhar Manna and published by Frontiers Media SA. This book was released on 2022-01-28 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Self Organizing Economy by : Paul Krugman
Download or read book The Self Organizing Economy written by Paul Krugman and published by John Wiley & Sons. This book was released on 1996-04-11 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Self-Organizing Economy In the last few years the concept of self-organizing systems—complex systems in which randomness and chaos seem spontaneously to evolve into unexpected order—has linked together researchers in many fields, from artificial intelligence to chemistry, from evolution to geology. Now leading economist Paul Krugman shows how principles that explain the growth of hurricanes and embryos can also explain the formation of cities and business cycles; how the same principles of “order from random growth” can explain the strangely simple rules that describe the sizes of earthquakes, meteorites, and metropolitan areas. Weaving together strands from many disciplines, from location theory to biology, The Self-Organizing Economy offers a surprising new view of how the economy structures itself in space and time.
Book Synopsis Criticality in Neural Systems by : Dietmar Plenz
Download or read book Criticality in Neural Systems written by Dietmar Plenz and published by John Wiley & Sons. This book was released on 2014-04-14 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: Leading authorities in the field review current experimental and theoretical knowledge on criticality and brain function. The book begins by summarizing experimental evidence for criticality and self-organized criticality in the brain. Subsequently, important breakthroughs in modeling of critical neuronal circuits and how to establish self-organized criticality in the brain are described. A milestone publication, defining upcoming directions of research in this new fi eld and set to become the primary source of information on the brain and criticality.
Book Synopsis Complexity and Criticality by : Kim Christensen
Download or read book Complexity and Criticality written by Kim Christensen and published by Imperial College Press. This book was released on 2005 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a challenging and stimulating introduction to the contemporary topics of complexity and criticality, and explores their common basis of scale invariance, a central unifying theme of the book.Criticality refers to the behaviour of extended systems at a phase transition where scale invariance prevails. The many constituent microscopic parts bring about macroscopic phenomena that cannot be understood by considering a single part alone. The phenomenology of phase transitions is introduced by considering percolation, a simple model with a purely geometrical phase transition, thus enabling the reader to become intuitively familiar with concepts such as scale invariance and renormalisation. The Ising model is then introduced, which captures a thermodynamic phase transition from a disordered to an ordered system as the temperature is lowered in zero external field. By emphasising analogies between percolation and the Ising model, the reader's intuition of phase transitions is developed so that the underlying theoretical formalism may be appreciated fully. These equilibrium systems undergo a phase transition only if an external agent finely tunes certain external parameters to particular values.Besides fractals and phase transitions, there are many examples in Nature of the emergence of such complex behaviour in slowly driven non-equilibrium systems: earthquakes in seismic systems, avalanches in granular media and rainfall in the atmosphere. A class of non-equilibrium systems, not constrained by having to tune external parameters to obtain critical behaviour, is addressed in the framework of simple models, revealing that the repeated application of simple rules may spontaneously give rise to emergent complex behaviour not encoded in the rules themselves. The common basis of complexity and criticality is identified and applied to a range of non-equilibrium systems. Finally, the reader is invited to speculate whether self-organisation in non-equilibrium systems might be a unifying concept for disparate fields such as statistical mechanics, geophysics and atmospheric physics.Visit http: //www.complexityandcriticality.com for animations for the models in the book (available for Windows and Linux), solutions to exercises, as well as a list with corrections.
Book Synopsis Self-Organized Biological Dynamics and Nonlinear Control by : Jan Walleczek
Download or read book Self-Organized Biological Dynamics and Nonlinear Control written by Jan Walleczek and published by Cambridge University Press. This book was released on 2006-04-20 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: The growing impact of nonlinear science on biology and medicine is fundamentally changing our view of living organisms and disease processes. This book introduces the application to biomedicine of a broad range of interdisciplinary concepts from nonlinear dynamics, such as self-organization, complexity, coherence, stochastic resonance, fractals and chaos. It comprises 18 chapters written by leading figures in the field and covers experimental and theoretical research, as well as the emerging technological possibilities such as nonlinear control techniques for treating pathological biodynamics, including heart arrhythmias and epilepsy. This book will attract the interest of professionals and students from a wide range of disciplines, including physicists, chemists, biologists, sensory physiologists and medical researchers such as cardiologists, neurologists and biomedical engineers.
Book Synopsis Power Grid Complexity by : Shengwei Mei
Download or read book Power Grid Complexity written by Shengwei Mei and published by Springer Science & Business Media. This book was released on 2011-09-15 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Power Grid Complexity” introduces the complex system theory known as self-organized criticality (SOC) theory and complex network theory, and their applications to power systems. It studies the network characteristics of power systems, such as their small-world properties, structural vulnerability, decomposition and coordination strategies, and simplification and equivalence methods. The book also establishes four blackout models based on SOC theory through which the SOC of power systems is studied at both the macroscopic and microscopic levels. Additionally, applications of complex system theory in power system planning and emergency management platforms are also discussed in depth. This book can serve as a useful reference for engineers and researchers working with power systems. Shengwei Mei is a Professor at the Department of Electrical Engineering at Tsinghua University, China. Xuemin Zhang is a Lecturer at the Department of Electrical Engineering at Tsinghua University, China. Ming Cao is an Assistant Professor at the Faculty of Mathematics and Natural Sciences at the University of Groningen, the Netherlands.
Book Synopsis Self-organized Complexity in the Physical, Biological, and Social Sciences by : Donald Lawson Turcotte
Download or read book Self-organized Complexity in the Physical, Biological, and Social Sciences written by Donald Lawson Turcotte and published by National Academies Press. This book was released on 2002 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Population Biology and Criticality by : Nico Stollenwerk
Download or read book Population Biology and Criticality written by Nico Stollenwerk and published by World Scientific. This book was released on 2010-11-25 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book describes novel theories of mutation pathogen systems showing critical fluctuations, as a paradigmatic example of an application of the mathematics of critical phenomena to the life sciences. It will enable the reader to understand the implications and future impact of these findings, yet at same time allow him to actively follow the mathematical tools and scientific origins of critical phenomena. This book also seeks to pave the way to further fruitful applications of the mathematics of critical phenomena in other fields of the life sciences. Contents:From Deterministic to Stochastic DynamicsSpatial Stochastic Birth–Death Process or SIS-EpidemicsCriticality in Equilibrium SystemsPartial Immunization ModelsRenormalization and Series Expansion: Techniques to Study CriticalityCriticality in Measles Under VaccinationEvolution to Criticality in Meningococcal Disease Readership: Academics in the field of biology, medicine and physics (cross-disciplinary) interested in stochasticity in biological and medical systems, in relation to public health, evolutionary biology and microbiology. Keywords:Critical Phenomena;Stochastic Dynamics;Absorbing Phase Transition;Pair Approximation;Moment Closure;Epidemiology;Ecology;Birth and Death Processes;Accidental Pathogens;Multi-Strain Dynamics;Meningitis;Large FluctuationsKey Features:No competing book existing yetThe treatment of some topics included is scattered in the literature of various fieldsSome topics have never been published in detailed book form beforeExplicit calculations are preferred over results statements
Book Synopsis Our Self-Organized Brains by : Osvaldo Agamennoni
Download or read book Our Self-Organized Brains written by Osvaldo Agamennoni and published by Cambridge Scholars Publishing. This book was released on 2021-06-22 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the dynamic nature of the brain and its mechanisms to develop cognitive skills, specifically learning. It will facilitate the reader’s appreciation and understanding of many concepts linked to cognition using a systemic approach to neuroscience. It introduces concepts of feedback control systems and self-organized systems that allow brain dynamics to be approached systemically, facilitating a holistic comprehension. The book is written in plain language and uses a wide variety of examples to facilitate its reading and understanding. It will serve to promote transdisciplinary communication in readers interested in the study of the fundamental dynamic aspects involved in the human learning process, both individually and socially.
Book Synopsis Complex Networks and Their Applications VIII by : Hocine Cherifi
Download or read book Complex Networks and Their Applications VIII written by Hocine Cherifi and published by Springer Nature. This book was released on 2019-11-25 with total page 992 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights cutting-edge research in the field of network science, offering scientists, researchers, students, and practitioners a unique update on the latest advances in theory and a multitude of applications. It presents the peer-reviewed proceedings of the Eighth International Conference on Complex Networks and their Applications (COMPLEX NETWORKS 2019), which took place in Lisbon, Portugal, on December 10–12, 2019. The carefully selected papers cover a wide range of theoretical topics such as network models and measures; community structure, and network dynamics; diffusion, epidemics, and spreading processes; resilience and control as well as all the main network applications, including social and political networks; networks in finance and economics; biological and neuroscience networks; and technological networks.
Book Synopsis The Theory of Critical Phenomena by : J. J. Binney
Download or read book The Theory of Critical Phenomena written by J. J. Binney and published by Oxford University Press. This book was released on 1992-06-11 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: The successful calculation of critical exponents for continuous phase transitions is one of the main achievements of theoretical physics over the last quarter-century. This was achieved through the use of scaling and field-theoretic techniques which have since become standard equipment in many areas of physics, especially quantum field theory. This book provides a thorough introduction to these techniques. Continuous phase transitions are introduced, then the necessary statistical mechanics is summarized, followed by standard models, some exact solutions and techniques for numerical simulations. The real-space renormalization group and mean-field theory are then explained and illustrated. The final chapters cover the Landau-Ginzburg model, from physical motivation, through diagrammatic perturbation theory and renormalization to the renormalization group and the calculation of critical exponents above and below the critical temperature.
Book Synopsis Dynamics of Self-Organized and Self-Assembled Structures by : Rashmi C. Desai
Download or read book Dynamics of Self-Organized and Self-Assembled Structures written by Rashmi C. Desai and published by Cambridge University Press. This book was released on 2009-03-26 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physical and biological systems driven out of equilibrium may spontaneously evolve to form spatial structures. In some systems molecular constituents may self-assemble to produce complex ordered structures. This book describes how such pattern formation processes occur and how they can be modeled. Experimental observations are used to introduce the diverse systems and phenomena leading to pattern formation. The physical origins of various spatial structures are discussed, and models for their formation are constructed. In contrast to many treatments, pattern-forming processes in nonequilibrium systems are treated in a coherent fashion. The book shows how near-equilibrium and far-from-equilibrium modeling concepts are often combined to describe physical systems. This inter-disciplinary book can form the basis of graduate courses in pattern formation and self-assembly. It is a useful reference for graduate students and researchers in a number of disciplines, including condensed matter science, nonequilibrium statistical mechanics, nonlinear dynamics, chemical biophysics, materials science, and engineering.
