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This is the second volume of lecture notes on various topics in nonlinear physics. They were delivered by specialists who gave courses in the village of Peyresq (France) during summer schools organized by the Institut Non Lineaire de Nice and the Institut de Recherche de Physique Hors Equilibre.
Nonlinear theories. --- Mathematical physics. --- Physical mathematics --- Physics --- Nonlinear problems --- Nonlinearity (Mathematics) --- Calculus --- Mathematical analysis --- Mathematical physics --- Mathematics --- Théories non linéaires
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Mathematical analysis --- Functional analysis --- Nonlinear theories --- Analyse mathématique --- Analyse fonctionnelle --- Théories non linéaires --- 31.00 mathematics: general --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- 517.1 Mathematical analysis
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Systems engineering --- Chaotic behavior in systems --- Nonlinear theories --- Ingénierie des systèmes --- Chaos --- Théories non linéaires --- Périodiques. --- Chaos in systems --- Chaos theory --- Chaotic motion in systems --- Differentiable dynamical systems --- Dynamics --- System theory
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This book examines in detail the Theory of Elasticity which is a branch of the mechanics of a deformable solid. Special emphasis is placed on the investigation of the process of deformation within the framework of the generally accepted model of a medium which, in this case, is an elastic body. A comprehensive list of Appendices is included providing a wealth of references for more in depth coverage. The work will provide both a stimulus for future research in this field as well as useful reference material for many years to come.
Elasticity --- Nonlinear theories --- Elasticité --- Théories non linéaires --- Elasticity. --- Nonlinear theories. --- Nonlinear problems --- Nonlinearity (Mathematics) --- Calculus --- Mathematical analysis --- Mathematical physics --- Elastic properties --- Young's modulus --- Matter --- Statics --- Rheology --- Strains and stresses --- Strength of materials --- Properties
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Many problems in science and engineering are described by nonlinear differential equations, which can be notoriously difficult to solve. Through the interplay of topological and variational ideas, methods of nonlinear analysis are able to tackle such fundamental problems. This graduate text explains some of the key techniques in a way that will be appreciated by mathematicians, physicists and engineers. Starting from elementary tools of bifurcation theory and analysis, the authors cover a number of more modern topics from critical point theory to elliptic partial differential equations. A series of Appendices give convenient accounts of a variety of advanced topics that will introduce the reader to areas of current research. The book is amply illustrated and many chapters are rounded off with a set of exercises.
Nonlinear theories. --- Differential equations, Elliptic. --- Théories non linéaires --- Equations différentielles elliptiques --- Elliptic differential equations --- Elliptic partial differential equations --- Linear elliptic differential equations --- Differential equations, Linear --- Differential equations, Partial --- Nonlinear problems --- Nonlinearity (Mathematics) --- Calculus --- Mathematical analysis --- Mathematical physics
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"Theoretical, experimental and computational physicists working in the following fields: dynamical systems, statistical mechanics, hydrodynamics, classical and quantum chaos, solid state physics. Mathematicians: mathematical biology, applied mathematics, dynamical systems, integrable systems."
Physics --- Nonlinear theories --- Théories non linéaires --- Physique --- Periodicals --- Périodiques --- Théories non linéaires --- Périodiques. --- #TS:WNAT --- 53 --- Chemistry --- General and Others --- Biology --- Life Sciences --- 53 Physics --- Chemistry. --- General and Others. --- Life Sciences. --- Physics. --- Périodiques --- EJPHYSI ELSEVIER-E EPUB-ALPHA-P EPUB-PER-FT --- Journal
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Nonlinear system theory
Nonlinear theories. --- System analysis. --- Network theory --- Systems analysis --- Nonlinear problems --- Nonlinearity (Mathematics) --- System theory --- Mathematical optimization --- Calculus --- Mathematical analysis --- Mathematical physics --- Network analysis --- Network science --- Nonlinear theories --- Analyse de systèmes --- Théories non linéaires --- ELSEVIER-B EPUB-LIV-FT --- System analysis
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Where Medicine Went Wrong explores how the idea of an average value has been misapplied to medical phenomena, distorted understanding and lead to flawed medical decisions. Through new insights into the science of complexity, traditional physiology is replaced with fractal physiology, in which variability is more indicative of health than is an average. The capricious nature of physiological systems is made conceptually manageable by smoothing over fluctuations and thinking in terms of averages. But these variations in such aspects as heart rate, breathing and walking are much more susceptible
Semiconductors --- Solid state electronics --- Ions --- Intermediates (Chemistry) --- Matter --- Physics --- Solution (Chemistry) --- Electrolysis --- Electrons --- Properties --- Physiological Phenomena. --- Models, Biological. --- Health Status Indicators. --- Nonlinear Dynamics. --- Philosophy, Medical. --- Medicine --- Fractals --- Human physiology --- Health status indicators --- Nonlinear theories --- Médecine --- Fractales --- Physiologie humaine --- Indicateurs de santé --- Théories non linéaires --- Philosophy --- Philosophie --- Fractals. --- Human physiology. --- Health status indicators. --- Nonlinear theories. --- Philosophy.
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Nonlinearity & Functional Analysis
Functional analysis --- Mathematical analysis. --- Functional analysis. --- Nonlinear theories. --- Mathematical analysis --- Nonlinear theories --- Analyse mathématique --- Analyse fonctionnelle --- Théories non linéaires --- ELSEVIER-B EPUB-LIV-FT --- 517.1 --- 517.9 --- 517.9 Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Nonlinear problems --- Nonlinearity (Mathematics) --- Calculus --- Mathematical physics --- 517.1 Mathematical analysis --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations
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