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This book discusses human perception and performance within the framework of the theory of self-organizing systems. To that end, it presents a variety of phenomena and experimental findings in the research field, and provides an introduction to the theory of self-organization, with a focus on amplitude equations, order parameter and Lotka-Volterra equations. The book demonstrates that relating the experimental findings to the mathematical models provides an explicit account for the causal nature of human perception and performance. In particular, the notion of determinism versus free will is discussed in this context. The book is divided into four main parts, the first of which discusses the relationship between the concept of determinism and the fundamental laws of physics. The second part provides an introduction to using the self-organization approach from physics to understand human perception and performance, a strategy used throughout the remainder of the book to connect experimental findings and mathematical models. In turn, the third part of the book focuses on investigating performance guided by perception: climbing stairs and grasping tools are presented in detail. Perceptually relevant bifurcation parameters in the mathematical models are also identified, e.g. in the context of walk-to-run gait transitions. Chains of perceptions and actions together with their underlying mechanisms are then presented, and a number of experimental phenomena – such as selective attention, priming, child play, bistable perception, retrieval-induced forgetting, functional fixedness and memory effects exhibiting hysteresis with positive or negative sign – are discussed. Human judgment making, internal experiences such as dreaming and thinking, and Freud’s concept of consciousness are also addressed. The fourth and last part of the book explores several specific topics such as learning, social interactions between two people, life trajectories, and applications in clinical psychology. In particular, episodes of mania and depression under bipolar disorder, perception under schizophrenia, and obsessive-compulsive rituals are discussed. This book is intended for researchers and graduate students in psychology, physics, applied mathematics, kinesiology, and the sport sciences who want to learn about the foundations of the field. Written for a mixed audience, the experiments and concepts are presented using non-technical language throughout. In addition, each chapter includes more advanced sections for modelers in the fields of physics and applied mathematics.
Statistical physics. --- Cognitive psychology. --- System theory. --- Sports sciences. --- Applications of Nonlinear Dynamics and Chaos Theory. --- Cognitive Psychology. --- Complex Systems. --- Sport Science . --- Sciences, Sports --- Sport sciences --- Physical education and training --- Science --- Systems, Theory of --- Systems science --- Psychology, Cognitive --- Cognitive science --- Psychology --- Physics --- Mathematical statistics --- Philosophy --- Statistical methods --- Synergetics. --- Perception. --- Free will and determinism. --- System theory --- Self-organizing systems --- Compatibilism --- Determinism and free will --- Determinism and indeterminism --- Free agency --- Freedom and determinism --- Freedom of the will --- Indeterminism --- Liberty of the will --- Determinism (Philosophy) --- Supraliminal perception --- Cognition --- Apperception --- Senses and sensation --- Thought and thinking
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Operational research. Game theory --- Mathematical physics --- Quantum mechanics. Quantumfield theory --- Statistical physics --- Thermodynamics --- Computer science --- neuronale netwerken --- thermodynamica --- quantumfysica --- stochastische analyse --- statistiek --- wiskunde --- fysica --- kansrekening
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This book addresses the COVID-19 pandemic from a quantitative perspective based on mathematical models and methods largely used in nonlinear physics. It aims to study COVID-19 epidemics in countries and SARS-CoV-2 infections in individuals from the nonlinear physics perspective and to model explicitly COVID-19 data observed in countries and virus load data observed in COVID-19 patients. The first part of this book provides a short technical introduction into amplitude spaces given by eigenvalues, eigenvectors, and amplitudes.In the second part of the book, mathematical models of epidemiology are introduced such as the SIR and SEIR models and applied to describe COVID-19 epidemics in various countries around the world. In the third part of the book, virus dynamics models are considered and applied to infections in COVID-19 patients. This book is written for researchers, modellers, and graduate students in physics and medicine, epidemiology and virology, biology, applied mathematics, and computer sciences. This book identifies the relevant mechanisms behind past COVID-19 outbreaks and in doing so can help efforts to stop future COVID-19 outbreaks and other epidemic outbreaks. Likewise, this book points out the physics underlying SARS-CoV-2 infections in patients and in doing so supports a physics perspective to address human immune reactions to SARS-CoV-2 infections and similar virus infections.
Discrete mathematics --- Mathematics --- Mathematical physics --- Classical mechanics. Field theory --- Hygiene. Public health. Protection --- Epidemiology --- volksgezondheid --- grafentheorie --- epidemiologie --- systeemtheorie --- wiskunde --- fysica --- dynamica --- Mathematical models.
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Mathematical models. --- Models, Mathematical --- Simulation methods
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Providing an introduction to the theory of nonlinear Fokker-Planck equations, this book discusses fundamental properties of transient and stationary solutions, emphasizing the stability analysis of stationary solutions by means of self-consistency equations, linear stability analysis, and Lyapunov's direct method. Also treated are Langevin equations and correlation functions. Nonlinear Fokker-Planck Equations addresses various phenomena such as phase transitions, multistability of systems, synchronization, anomalous diffusion, cut-off solutions, travelling-wave solutions and the emergence of power law solutions. A nonlinear Fokker-Planck perspective to quantum statistics, generalized thermodynamics, and linear nonequilibrium thermodynamics is given. Theoretical concepts are illustrated where possible by simple examples. The book also reviews several applications in the fields of condensed matter physics, the physics of porous media and liquid crystals, accelerator physics, neurophysics, social sciences, population dynamics, and computational physics.
Operational research. Game theory --- Mathematical physics --- Quantum mechanics. Quantumfield theory --- Statistical physics --- Thermodynamics --- Computer science --- neuronale netwerken --- thermodynamica --- quantumfysica --- stochastische analyse --- statistiek --- wiskunde --- fysica --- kansrekening
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