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Although nonlinear dynamics have been mastered by physicists and mathematicians for a long time (as most physical systems are inherently nonlinear in nature), the recent successful application of nonlinear methods to modeling and predicting several evolutionary, ecological, physiological, and biochemical processes has generated great interest and enthusiasm among researchers in computational neuroscience and cognitive psychology. Additionally, in the last years it has been demonstrated that nonlinear analysis can be successfully used to model not only basic cellular and molecular data but also complex cognitive processes and behavioral interactions. The theoretical features of nonlinear systems (such unstable periodic orbits, period-doubling bifurcations and phase space dynamics) have already been successfully applied by several research groups to analyze the behavior of a variety of neuronal and cognitive processes. Additionally the concept of strange attractors has lead to a new understanding of information processing which considers higher cognitive functions (such as language, attention, memory and decision making) as complex systems emerging from the dynamic interaction between parallel streams of information flowing between highly interconnected neuronal clusters organized in a widely distributed circuit and modulated by key central nodes. Furthermore, the paradigm of self-organization derived from the nonlinear dynamics theory has offered an interesting account of the phenomenon of emergence of new complex cognitive structures from random and non-deterministic patterns, similarly to what has been previously observed in nonlinear studies of fluid dynamics. Finally, the challenges of coupling massive amount of data related to brain function generated from new research fields in experimental neuroscience (such as magnetoencephalography, optogenetics and single-cell intra-operative recordings of neuronal activity) have generated the necessity of new research strategies which incorporate complex pattern analysis as an important feature of their algorithms. Up to now nonlinear dynamics has already been successfully employed to model both basic single and multiple neurons activity (such as single-cell firing patterns, neural networks synchronization, autonomic activity, electroencephalographic measurements, and noise modulation in the cerebellum), as well as higher cognitive functions and complex psychiatric disorders. Similarly, previous experimental studies have suggested that several cognitive functions can be successfully modeled with basis on the transient activity of large-scale brain networks in the presence of noise. Such studies have demonstrated that it is possible to represent typical decision-making paradigms of neuroeconomics by dynamic models governed by ordinary differential equations with a finite number of possibilities at the decision points and basic heuristic rules which incorporate variable degrees of uncertainty. This e-book has include frontline research in computational neuroscience and cognitive psychology involving applications of nonlinear analysis, especially regarding the representation and modeling of complex neural and cognitive systems. Several experts teams around the world have provided frontline theoretical and experimental contributions (as well as reviews, perspectives and commentaries) in the fields of nonlinear modeling of cognitive systems, chaotic dynamics in computational neuroscience, fractal analysis of biological brain data, nonlinear dynamics in neural networks research, nonlinear and fuzzy logics in complex neural systems, nonlinear analysis of psychiatric disorders and dynamic modeling of sensorimotor coordination.

fMRI --- fractal analysis --- Cognitive neuroscience --- EEG --- Experimental neuroscience --- non-linear dynamics --- Neuropsychology --- applied neuroscience

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Chaotic behavior in systems --- Nonlinear theories --- 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 --- Chaos in systems --- Chaos theory --- Chaotic motion in systems --- Fractals --- Differentiable dynamical systems --- Dynamics --- System theory --- Nonlinear Dynamics.

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Random noise theory --- Nanostructured materials --- Nonlinear systems --- Nonlinear Dynamics --- Nanostructured materials. --- Nonlinear systems. --- Random noise theory. --- Nonlinear Dynamics. --- Gaussian noise --- Noise, Random --- Systems, Nonlinear --- Nanomaterials --- Nanometer materials --- Nanophase materials --- Nanostructure controlled materials --- Nanostructure materials --- Ultra-fine microstructure materials --- 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 --- Statistical communication theory --- Stochastic processes --- Uncertainty (Information theory) --- System theory --- Microstructure --- Nanotechnology --- Fractals --- Engineering --- Life Sciences --- Material Science and Metallurgy --- Telecommunications Technology --- Biomedical Engineering --- Electronics --- Biology --- Wireless Communications

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Dose-response relationship (Biochemistry) --- Nonlinear theories --- Nonlinear theories. --- Nonlinear problems --- Nonlinearity (Mathematics) --- Dose-effect relationship (Biochemistry) --- Relationship, Dose-response (Biochemistry) --- Nonlinear Dynamics --- Biological Science Disciplines --- Toxicology --- Evidence Based Toxicology --- Evidence-Based Toxicology --- Toxinology --- Based Toxicologies, Evidence --- Based Toxicology, Evidence --- Evidence Based Toxicologies --- Evidence-Based Toxicologies --- Toxicologies, Evidence Based --- Toxicologies, Evidence-Based --- Toxicology, Evidence Based --- Toxicology, Evidence-Based --- Biologic Sciences --- Biological Science --- Science, Biological --- Sciences, Biological --- Biological Sciences --- Life Sciences --- Biologic Science --- Biological Science Discipline --- Discipline, Biological Science --- Disciplines, Biological Science --- Life Science --- Science Discipline, Biological --- Science Disciplines, Biological --- Science, Biologic --- Science, Life --- Sciences, Biologic --- Sciences, Life --- 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 --- Pharmacogenetics --- Fractals --- Calculus --- Mathematical analysis --- Mathematical physics --- Biochemistry --- Nonlinear Dynamics, --- Biological Science Disciplines, --- Toxicology,

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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.