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The consideration of time or dynamics is fundamental for all aspects of mental activity--perception, cognition, and emotion--because the main feature of brain activity is the continuous change of the underlying brain states even in a constant environment. The application of nonlinear dynamics to the study of brain activity began to flourish in the 1990s when combined with empirical observations from modern morphological and physiological observations. This book offers perspectives on brain dynamics that draw on the latest advances in research in the field. It includes contributions from both theoreticians and experimentalists, offering an eclectic treatment of fundamental issues. Topics addressed range from experimental and computational approaches to transient brain dynamics to the free-energy principle as a global brain theory. The book concludes with a short but rigorous guide to modern nonlinear dynamics and their application to neural dynamics.
Brain --- Nonlinear Dynamics. --- Cerveau --- physiology. --- Physiologie --- Nonlinear Dynamics --- Non-linear Dynamics --- Non-linear Models --- Chaos Theory --- Models, Nonlinear --- Chaos Theories --- Dynamics, Non-linear --- Dynamics, Nonlinear --- Model, Non-linear --- Model, Nonlinear --- Models, Non-linear --- Non linear Dynamics --- Non linear Models --- Non-linear Dynamic --- Non-linear Model --- Nonlinear Dynamic --- Nonlinear Model --- Nonlinear Models --- Theories, Chaos --- Theory, Chaos --- Fractals --- physiology --- Dynamics. --- Physiology. --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Physiologie. --- Nonlinear theories. --- NEUROSCIENCE/General --- Nonlinear problems --- Nonlinearity (Mathematics) --- Calculus --- Mathematical analysis --- Mathematical physics
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non-linear science --- complex phenomena --- non-equilibrium processes --- complex matter --- random processes
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What happens in our brain when we make a decision? What triggers a neuron to send out a signal? What is the neural code? This textbook for advanced undergraduate and beginning graduate students provides a thorough and up-to-date introduction to the fields of computational and theoretical neuroscience. It covers classical topics, including the Hodgkin-Huxley equations and Hopfield model, as well as modern developments in the field such as Generalized Linear Models and decision theory. Concepts are introduced using clear step-by-step explanations suitable for readers with only a basic knowledge of differential equations and probabilities, and are richly illustrated by figures and worked-out examples. End-of-chapter summaries and classroom-tested exercises make the book ideal for courses or for self-study. The authors also give pointers to the literature and an extensive bibliography, which will prove invaluable to readers interested in further study.
Physiology of nerves and sense organs --- Cognitive neuroscience. --- Neural networks (Neurobiology). --- Neurobiology. --- Neurobiology --- Neural networks (Neurobiology) --- Cognitive neuroscience --- Neurons --- Nonlinear Dynamics --- Nerve Net --- Cognition --- Models, Neurological --- Model, Neurological --- Neurologic Model --- Neurological Model --- Neurological Models --- Neurologic Models --- Model, Neurologic --- Models, Neurologic --- Neural Networks (Anatomic) --- Nerve Nets --- Net, Nerve --- Nets, Nerve --- Network, Neural (Anatomic) --- Networks, Neural (Anatomic) --- Neural Network (Anatomic) --- Non-linear Dynamics --- Non-linear Models --- Chaos Theory --- Models, Nonlinear --- Chaos Theories --- Dynamics, Non-linear --- Dynamics, Nonlinear --- Model, Non-linear --- Model, Nonlinear --- Models, Non-linear --- Non linear Dynamics --- Non linear Models --- Non-linear Dynamic --- Non-linear Model --- Nonlinear Dynamic --- Nonlinear Model --- Nonlinear Models --- Theories, Chaos --- Theory, Chaos --- Fractals --- Cognitive neuropsychology --- Cognitive science --- Neuropsychology --- Biological neural networks --- Nets, Neural (Neurobiology) --- Networks, Neural (Neurobiology) --- Neural nets (Neurobiology) --- Neural circuitry --- Neurosciences --- physiology
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Partial Differential Equations in Applied Mathematics provides a platform for the rapid circulation of original researches in applied mathematics and applied sciences by utilizing partial differential equations and related techniques.
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Physical Review E, interdisciplinary in scope, focuses on many-body phenomena, including recent developments in quantum and classical chaos and soft matter physics. It has sections on statistical physics, equilibrium and transport properties of fluids, liquid crystals, complex fluids, polymers, chaos, fluid dynamics, plasma physics, classical physics, and computational physics. In addition, the journal features sections on two rapidly growing areas: biological physics and granular materials.
Physics --- Biophysics --- Nonlinear Dynamics --- Statistics --- Statistical physics --- Plasma (Ionized gases) --- Fluids --- Physique statistique --- Plasma (Gaz ionisés) --- Fluides --- Periodicals. --- Périodiques --- periodicals. --- Physics. --- Biophysics. --- Nonlinear Dynamics. --- Statistics. --- Fluids. --- Statistical physics. --- 33.00 physics: general --- 33.20 modern classical physics: general --- E-journals --- Periodicals --- Mathematical Sciences --- General and Others --- Vloeistofmechanica. --- Statistische mechanica. --- Plasma's. --- Plasma (Gaz ionisés) --- Périodiques --- AMEPHYSOC-E EJPHYSI EPUB-ALPHA-P EPUB-PER-FT --- Non-linear Dynamics --- Non-linear Models --- Chaos Theory --- Models, Nonlinear --- Chaos Theories --- Dynamics, Non-linear --- Dynamics, Nonlinear --- Model, Non-linear --- Model, Nonlinear --- Models, Non-linear --- Non linear Dynamics --- Non linear Models --- Non-linear Dynamic --- Non-linear Model --- Nonlinear Dynamic --- Nonlinear Model --- Nonlinear Models --- Theories, Chaos --- Theory, Chaos --- Mechanobiology --- Physic --- Gaseous discharge --- Gaseous plasma --- Magnetoplasma --- Statistical methods --- Fractals --- Mathematical statistics --- Ionized gases --- Hydraulics --- Mechanics --- Hydrostatics --- Permeability --- Plasmas. --- Statistics as Topic. --- Area Analysis --- Estimation Technics --- Estimation Techniques --- Indirect Estimation Technics --- Indirect Estimation Techniques --- Multiple Classification Analysis --- Service Statistics --- Statistical Study --- Statistics, Service --- Tables and Charts as Topic --- Analyses, Area --- Analyses, Multiple Classification --- Area Analyses --- Classification Analyses, Multiple --- Classification Analysis, Multiple --- Estimation Technic, Indirect --- Estimation Technics, Indirect --- Estimation Technique --- Estimation Technique, Indirect --- Estimation Techniques, Indirect --- Indirect Estimation Technic --- Indirect Estimation Technique --- Multiple Classification Analyses --- Statistical Studies --- Studies, Statistical --- Study, Statistical --- Technic, Indirect Estimation --- Technics, Estimation --- Technics, Indirect Estimation --- Technique, Estimation --- Technique, Indirect Estimation --- Techniques, Estimation --- Techniques, Indirect Estimation --- Physique. --- Biophysique. --- physics. --- Biological physics --- Biology --- Medical sciences --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Statistics as Topic --- Statistical physics - Periodicals. --- Plasma (Ionized gases) - Periodicals. --- Fluids - Periodicals. --- Nonlinear Dynamics - periodicals. --- Statistics - Periodicals. --- Physics - Periodicals. --- Biophysics - Periodicals.
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Divorce rates are at an all-time high. But without a theoretical understanding of the processes related to marital stability and dissolution, it is difficult to design and evaluate new marriage interventions. The Mathematics of Marriage provides the foundation for a scientific theory of marital relations. The book does not rely on metaphors, but develops and applies a mathematical model using difference equations. The work is the fulfillment of the goal to build a mathematical framework for the general system theory of families first suggested by Ludwig Von Bertalanffy in the 1960s.The book also presents a complete introduction to the mathematics involved in theory building and testing, and details the development of experiments and models. In one "marriage experiment," for example, the authors explored the effects of lowering or raising a couple's heart rates. Armed with their mathematical model, they were able to do real experiments to determine which processes were affected by their interventions.Applying ideas such as phase space, null clines, influence functions, inertia, and uninfluenced and influenced stable steady states (attractors), the authors show how other researchers can use the methods to weigh their own data with positive and negative weights. While the focus is on modeling marriage, the techniques can be applied to other types of psychological phenomena as well.
Marriage --- Marital psychotherapy. --- Marriage. --- Models, Theoretical. --- Nonlinear Dynamics. --- Marital Therapy. --- Mathematical models. --- Psychological aspects. --- Therapy, Marital --- Therapy, Marriage --- Marriage Therapy --- Marital Therapies --- Marriage Therapies --- Therapies, Marital --- Therapies, Marriage --- Non-linear Dynamics --- Non-linear Models --- Chaos Theory --- Models, Nonlinear --- Chaos Theories --- Dynamics, Non-linear --- Dynamics, Nonlinear --- Model, Non-linear --- Model, Nonlinear --- Models, Non-linear --- Non linear Dynamics --- Non linear Models --- Non-linear Dynamic --- Non-linear Model --- Nonlinear Dynamic --- Nonlinear Model --- Nonlinear Models --- Theories, Chaos --- Theory, Chaos --- Experimental Model --- Experimental Models --- Mathematical Model --- Model, Experimental --- Models (Theoretical) --- Models, Experimental --- Models, Theoretic --- Theoretical Study --- Mathematical Models --- Model (Theoretical) --- Model, Mathematical --- Model, Theoretical --- Models, Mathematical --- Studies, Theoretical --- Study, Theoretical --- Theoretical Model --- Theoretical Models --- Theoretical Studies --- Arranged Marriage --- Commonlaw Marriage --- Consensual Union --- Consummation of Marriage --- Dowry --- Husband-Wife Comparisons --- Intermarriage --- Marriage Age --- Marriage Duration --- Marriage Patterns --- Marriage Postponement --- Mate Selection --- Multiple Marriages --- Nuptiality --- Polygamy --- Polygyny --- Remarriage --- Same-Sex Marriage --- Marital Relationship --- Age, Marriage --- Ages, Marriage --- Arranged Marriages --- Commonlaw Marriages --- Comparison, Husband-Wife --- Comparisons, Husband-Wife --- Consensual Unions --- Dowries --- Duration, Marriage --- Husband Wife Comparisons --- Husband-Wife Comparison --- Intermarriages --- Marital Relationships --- Marriage Ages --- Marriage Consummation --- Marriage Consummations --- Marriage Pattern --- Marriage Postponements --- Marriage, Arranged --- Marriage, Commonlaw --- Marriage, Same-Sex --- Marriages --- Marriages, Arranged --- Marriages, Commonlaw --- Marriages, Multiple --- Marriages, Same-Sex --- Mate Selections --- Postponement, Marriage --- Postponements, Marriage --- Relationship, Marital --- Relationships, Marital --- Remarriages --- Same Sex Marriage --- Same-Sex Marriages --- Selection, Mate --- Selections, Mate --- Union, Consensual --- Unions, Consensual --- Marital therapy --- Marriage psychotherapy --- Married life --- Matrimony --- Wedlock --- Fractals --- Computer Simulation --- Systems Theory --- Family psychotherapy --- Couples therapy --- Marriage counseling --- Love --- Sacraments --- Betrothal --- Courtship --- Families --- Home --- Honeymoons --- COGNITIVE SCIENCES/Psychology/Cognitive Psychology --- Marital psychotherapy --- Mathematical models --- Psychological aspects
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Electronic circuits --- Electric networks, nonlinear --- Electric networks, Nonlinear --- Réseaux électriques non linéaires --- 681.511.4 --- Electron-tube circuits --- Electric circuits --- Nonlinear electric networks --- Non-linear control systems --- Electric networks, Nonlinear. --- 681.511.4 Non-linear control systems --- Réseaux électriques non linéaires --- Electron tubes --- Electronics --- Nonlinear theories --- Electronic circuits. --- Circuits électroniques --- Électronique --- Électronique --- Systèmes non-linéaires --- Réseaux électriques (circuits)
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Differential equations --- Classical mechanics. Field theory --- Differential equations, Nonlinear --- Nonlinear mechanics --- Équations différentielles non linéaires. --- Mécanique non linéaire. --- Differential equations, Nonlinear. --- Nonlinear mechanics. --- Mathematical Sciences --- Applied Mathematics --- Complex Analysis --- General and Others --- non-linear phenomena --- computational techniques --- differential equations --- Mechanics, Nonlinear --- Mechanics, Analytic --- Nonlinear differential equations --- Nonlinear theories --- Équations différentielles non linéaires. --- Mécanique non linéaire. --- Chaos Theory. --- Differential Equations. --- Mathematics --- Calculus --- Équations différentielles non linéaires --- Mécanique non linéaire
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Theory of ionospheric waves
Ionospheric radio wave propagation --- Plasma waves --- Ionospheric radio wave propagation. --- Plasma waves. --- Plasma sound waves --- Acoustic surface waves --- Magnetohydrodynamics --- Plasma (Ionized gases) --- Waves --- Radio meteorology --- Radio wave propagation --- Wave propagation in fluid plasma --- Wave propagation in fluid plasma with steady magne --- Electromagnetic waves in ionosphere --- Wave propagation in inhomogeneous media --- Wave propagation(Non Linear-) --- Atmospheric waves interaction with ionosphere --- Wave propagation in random media --- Electromagnetic waves in plasmas --- Ionospheric waves
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This open access book presents a new generation multi-criteria, multi-stake holder, decision aide, called an "institutional compass". Based on hard data, the compass tells us what quality-direction we are heading in as an institution, region, system or organisation. The quality is not chosen from the usual scalar qualities of: good, neutral and bad. Instead, it is a quality chosen between: harmony, discipline and excitement. None is good in and of itself. We need some of each. The compass marks a new generation in four respects. 1. The representation of the data is intuitive and simple to understand, and therefore can be used to communicate and justify policy decisions. 2. Any data can be included, i.e., none is excluded. This makes the compass tailored to particular situations, voices and contexts. 3. The data includes different time horizons and different types of value: monetary, use, social, sentimental, religious, intrinsic, existential... 4. The process of compass construction can be made inclusive at several junctions. An institutional compass can be extended to evaluate products, add normativity to a systems analysis, reflect world-views such as that of ecological economists or function as an accounting system to manage scarce resources. There are four parts to the book. The first part introduces the general ideas behind the compass. In the second part, the author presents the method for constructing the compass. This includes data collection, data analysis and a mathematical formula to aggregate the data into a single holistic reading. In the third part, the author extends the methodology: to incorporate it into systems science, adding a normative and quality-direction dimension, to use it as a non-linear accounting method and more thoroughly to reflect the philosophy of ecological economists to give a real measure of sustainability. In the fourth part, we see three case studies: one for the World Health Organisation, a second is the use of the compass to label products in a shop and the third is as a regional compass for Hauts-de-France. The book ends with philosophical conclusions. Throughout the book, we see tight arguments, refreshing ideas and a thorough treatment of objectivity in decision making.
Political philosophy. Social philosophy --- Theory of knowledge --- Sociology: work and labour --- Operations research. --- Databases. --- Social and political philosophy --- Data Representation --- Ecological Economics --- Institutional Analysis --- Multi-Criteria Decision Aides --- Non-Linear Accounting --- Policy Analysis/Justification --- Policy Decisions --- Qualitative Data Analysis --- Qualitative Objectivity --- tool for the assessment of an institution --- quantitative and qualitative assessment --- comparative institutional analysis --- qualitative indicators for institution --- measuring institutions --- policy analysis reader --- Adaptation of the institutional compass to ecological economics
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