Complexity Criticality And Computation C

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Complexity Criticality And Computation C

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Author : Mikhail Prokopenko
language : en
Publisher: MDPI
Release Date : 2018-04-06

Complexity Criticality And Computation C written by Mikhail Prokopenko and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-06 with Computers categories.

This book is a printed edition of the Special Issue "Complexity, Criticality and Computation (C³)" that was published in Entropy

Complexity And Criticality

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Author : Kim Christensen
language : en
Publisher: World Scientific Publishing Company
Release Date : 2005-10-03

Complexity And Criticality written by Kim Christensen and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-10-03 with Science categories.

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. Contents:Percolation:Percolating Phase TransitionPercolation in One DimensionPercolation on the Bethe LatticePercolation in Two DimensionsGeometric Properties of ClustersScaling Ansatz, Scaling Functions and Scaling RelationsFinite-Size ScalingUniversalityReal-Space Renormalisation GroupIsing Model:Review of Thermodynamics and Statistical MechanicsSymmetry BreakingFerromagnetic Phase TransitionIsing Model in One DimensionMean-Field Ising ModelIsing Model in Two DimensionsLandau Theory of Continuous Phase TransitionsScaling Ansatz, Scaling Functions and Scaling RelationsUniversalityReal-Space Renormalisation GroupSelf-Organised Criticality:Non-equilibrium steady state systemBTW Model in One DimensionMean-Field Theory of the BTW ModelBranching ProcessScaling Ansatz, Scaling Functions and Scaling RelationsBTW Model in Two DimensionsA Rice Pile Experiment and the Oslo ModelEarthquakes and the OFC ModelRainfallSelf-Organised Criticality as a Unifying Principle Readership: Students at all levels, researchers and instructors looking for an introduction to the ideas of complexity and criticality.

Unconventional Computation And Natural Computation

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Author : Jerome Durand-Lose
language : en
Publisher: Springer
Release Date : 2012-09-02

Unconventional Computation And Natural Computation written by Jerome Durand-Lose and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-02 with Computers categories.

This book constitutes the thoroughly refereed post-conference proceedings of the 11th International Conference on Unconventional Computation, UC 2012, held in Orléans, France, during September 3-7, 2012. The 28 revised full papers presented were carefully selected from numerous submissions. Conference papers are organized in 4 technical sessions, covering topics of hypercomputation, chaos and dynamical systems based computing, granular, fuzzy and rough computing, mechanical computing, cellular, evolutionary, molecular, neural, and quantum computing, membrane computing, amorphous computing, swarm intelligence; artificial immune systems, physics of computation, chemical computation, evolving hardware, the computational nature of self-assembly, developmental processes, bacterial communication, and brain processes

Criticality In Neural Network Behavior And Its Implications For Computational Processing In Healthy And Perturbed Conditions

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Author : Axel Sandvig
language : en
Publisher: Frontiers Media SA
Release Date : 2023-02-03

Criticality In Neural Network Behavior And Its Implications For Computational Processing In Healthy And Perturbed Conditions written by Axel Sandvig and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-03 with Science categories.

The Cortex And The Critical Point

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Author : John M. Beggs
language : en
Publisher: MIT Press
Release Date : 2022-08-30

The Cortex And The Critical Point written by John M. Beggs and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-30 with Science categories.

How the cerebral cortex operates near a critical phase transition point for optimum performance. Individual neurons have limited computational powers, but when they work together, it is almost like magic. Firing synchronously and then breaking off to improvise by themselves, they can be paradoxically both independent and interdependent. This happens near the critical point: when neurons are poised between a phase where activity is damped and a phase where it is amplified, where information processing is optimized, and complex emergent activity patterns arise. The claim that neurons in the cortex work best when they operate near the critical point is known as the criticality hypothesis. In this book John Beggs—one of the pioneers of this hypothesis—offers an introduction to the critical point and its relevance to the brain. Drawing on recent experimental evidence, Beggs first explains the main ideas underlying the criticality hypotheses and emergent phenomena. He then discusses the critical point and its two main consequences—first, scale-free properties that confer optimum information processing; and second, universality, or the idea that complex emergent phenomena, like that seen near the critical point, can be explained by relatively simple models that are applicable across species and scale. Finally, Beggs considers future directions for the field, including research on homeostatic regulation, quasicriticality, and the expansion of the cortex and intelligence. An appendix provides technical material; many chapters include exercises that use freely available code and data sets.

Criticality As A Signature Of Healthy Neural Systems Multi Scale Experimental And Computational Studies

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Author : Paolo Massobrio
language : en
Publisher: Frontiers Media SA
Release Date : 2015-05-08

Criticality As A Signature Of Healthy Neural Systems Multi Scale Experimental And Computational Studies written by Paolo Massobrio and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-08 with Nervous system categories.

Since 2003, when spontaneous activity in cortical slices was first found to follow scale-free statistical distributions in size and duration, increasing experimental evidences and theoretical models have been reported in the literature supporting the emergence of evidence of scale invariance in the cortex. Although strongly debated, such results refer to many different in vitro and in vivo preparations (awake monkeys, anesthetized rats and cats, in vitro slices and dissociated cultures), suggesting that power law distributions and scale free correlations are a very general and robust feature of cortical activity that has been conserved across species as specific substrate for information storage, transmission and processing. Equally important is that the features reminiscent of scale invariance and criticality are observed at scale spanning from the level of interacting arrays of neurons all the way up to correlations across the entire brain. Thus, if we accept that the brain operates near a critical point, little is known about the causes and/or consequences of a loss of criticality and its relation with brain diseases (e.g. epilepsy). The study of how pathogenetical mechanisms are related to the critical/non-critical behavior of neuronal networks would likely provide new insights into the cellular and synaptic determinants of the emergence of critical-like dynamics and structures in neural systems. At the same time, the relation between the impaired behavior and the disruption of criticality would help clarify its role in normal brain function. The main objective of this Research Topic is to investigate the emergence/disruption of the emergent critical-like states in healthy/impaired neural systems.

An Introductory Course In Computational Neuroscience

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Author : Paul Miller
language : en
Publisher: MIT Press
Release Date : 2018-10-09

An Introductory Course In Computational Neuroscience written by Paul Miller and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-09 with Science categories.

A textbook for students with limited background in mathematics and computer coding, emphasizing computer tutorials that guide readers in producing models of neural behavior. This introductory text teaches students to understand, simulate, and analyze the complex behaviors of individual neurons and brain circuits. It is built around computer tutorials that guide students in producing models of neural behavior, with the associated Matlab code freely available online. From these models students learn how individual neurons function and how, when connected, neurons cooperate in a circuit. The book demonstrates through simulated models how oscillations, multistability, post-stimulus rebounds, and chaos can arise within either single neurons or circuits, and it explores their roles in the brain. The book first presents essential background in neuroscience, physics, mathematics, and Matlab, with explanations illustrated by many example problems. Subsequent chapters cover the neuron and spike production; single spike trains and the underlying cognitive processes; conductance-based models; the simulation of synaptic connections; firing-rate models of large-scale circuit operation; dynamical systems and their components; synaptic plasticity; and techniques for analysis of neuron population datasets, including principal components analysis, hidden Markov modeling, and Bayesian decoding. Accessible to undergraduates in life sciences with limited background in mathematics and computer coding, the book can be used in a “flipped” or “inverted” teaching approach, with class time devoted to hands-on work on the computer tutorials. It can also be a resource for graduate students in the life sciences who wish to gain computing skills and a deeper knowledge of neural function and neural circuits.

Cellular Automata And Discrete Complex Systems

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Author : Jan M. Baetens
language : en
Publisher: Springer
Release Date : 2018-06-15

Cellular Automata And Discrete Complex Systems written by Jan M. Baetens and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-15 with Computers categories.

This volume constitutes the thoroughly refereed proceedings of the 24th IFIP WG 1.5 International Workshop on Cellular Automata and Discrete Complex Systems, AUTOMATA 2018, held in Ghent, Belgium, in June 2018.The 10 regular papers presented in this book were carefully reviewed and selected from a total of 16 submissions. The papers highlight the major advances in the field and the development of new tools, support the development of theory and applications of CA and DCS and identify and study within an inter- and multidisciplinary context, the important fundamental aspects, concepts, notions and problems concerning CA and DCS.

Untangling Complex Systems

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Author : Pier Luigi Gentili
language : en
Publisher: CRC Press
Release Date : 2018-09-03

Untangling Complex Systems written by Pier Luigi Gentili and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-03 with Mathematics categories.

Complex Systems are natural systems that science is unable to describe exhaustively. Examples of Complex Systems are both unicellular and multicellular living beings; human brains; human immune systems; ecosystems; human societies; the global economy; the climate and geology of our planet. This book is an account of a marvelous interdisciplinary journey the author made to understand properties of the Complex Systems. He has undertaken his trip, equipped with the fundamental principles of physical chemistry, in particular, the Second Law of Thermodynamics that describes the spontaneous evolution of our universe, and the tools of Non-linear dynamics. By dealing with many disciplines, in particular, chemistry, biology, physics, economy, and philosophy, the author demonstrates that Complex Systems are intertwined networks, working in out-of-equilibrium conditions, which exhibit emergent properties, such as self-organization phenomena and chaotic behaviors in time and space.

Reviews Of Nonlinear Dynamics And Complexity

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Author : Heinz Georg Schuster
language : en
Publisher: John Wiley & Sons
Release Date : 2010-07-06

Reviews Of Nonlinear Dynamics And Complexity written by Heinz Georg Schuster and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-06 with Science categories.

Written in a style that breaks the barriers between the disciplines, this monograph enables researchers from life science, physics, engineering, or chemistry to access the most recent results in a common language. The resulting review character of this project sets it apart from specialized journals, and allows each volume to respond quickly to new developments. This third volume contains new topics ranging from chaotic computing, via random dice tossing and stochastic limit-cycle oscillators, to a number theoretic example of self-organized criticality, wave localization in complex networks and anomalous diffusion. A first-class board of international scientists advises the editor, such that the carefully selected and invited contributions represent the latest and most relevant findings.