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This book comes as a result of the research work developed in the framework of two international projects: the European Science Foundation supported program NATEMIS (Nonlinear Acoustic Techniques for Micro-Scale Damage Diagnostics) and a Los Alamos-based international network. The main topics of both the programs and the book cover the phenomenology, theory and applications of Nonclassical Nonlinearity (NCNL). NCNL techniques have been found in recent years to be extremely powerful (up to 1000 times more than the corresponding linear techniques) in a wide range of applications, including Material Characterization, Ultrasonics, Geophysics and Maintenance and Restoration of artifacts. These techniques are being adopted as the main inspection and research tool in another European program: AERONEWS (Health monitoring of aircraft by nonlinear elastic wave propagation). In the future, the proposed Universality of NCNL is expected to extend the range of applications to numerous other fields and scientific disciplines outside acoustics and NDE.

Nonlinear theories. --- Mathematical physics. --- Physical mathematics --- Physics --- Nonlinear problems --- Nonlinearity (Mathematics) --- Mathematics --- Physics. --- Quantum optics. --- Quantum Optics. --- Calculus --- Mathematical analysis --- Mathematical physics --- Optics --- Photons --- Quantum theory --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics

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Mathematical statistics --- Regression analysis --- Nonlinear theories --- Regression analysis. --- Nonlinear theories. --- Basic Sciences. Statistics --- Correlation and Regression Analysis --- Correlation and Regression Analysis. --- Analysis, Regression --- Linear regression --- Regression modeling --- Multivariate analysis --- Structural equation modeling --- Nonlinear problems --- Nonlinearity (Mathematics) --- Calculus --- Mathematical analysis --- Mathematical physics

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This book is aiming to concentrate on the nonlinear static and dynamic analysis of structures and structural components that are widely used in everyday engineering applications. It approaches a nonlinear problem by mathematically converting it into an exact equivalent pseudolinear one, in contrast to commonly used approaches which are based on linear concepts. The new concepts, theories and methods introduced in this book, simplify a great deal the solution of the complex nonlinear problems, and also allow for the correct usage of the powerful existing linear methods of analysis. Based on this way of thinking, the book also provides a reasonable treatment regarding the nonlinear analysis of inelastic plates, suspension bridges and their failures, multistory buildings subjected to strong earthquakes, as well as many other interesting nonlinear problems, such as thick cylinders, inelastic torsion, inelastic vibrations, inelastic analysis of flexible members, and many more.

Engineering. --- Statistical physics. --- Dynamical systems. --- Computational intelligence. --- Structural mechanics. --- Vibration. --- Dynamics. --- Civil engineering. --- Building --- Building. --- Construction. --- Engineering, Architectural. --- Building Construction. --- Structural Mechanics. --- Statistical Physics, Dynamical Systems and Complexity. --- Computational Intelligence. --- Vibration, Dynamical Systems, Control. --- Civil Engineering. --- Architectural engineering --- Buildings --- Construction --- Construction science --- Engineering, Architectural --- Structural design --- Structural engineering --- Architecture --- Construction industry --- Engineering --- Public works --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Cycles --- Sound --- Structural mechanics --- Structures, Theory of --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- Mathematical statistics --- Industrial arts --- Technology --- Design and construction. --- Design and construction --- Statistical methods --- Nonlinear theories. --- Mathematics. --- Nonlinear problems --- Nonlinearity (Mathematics) --- Calculus --- Mathematical analysis --- Mathematical physics --- Engineering, Structural --- Structures, Engineering of --- Mechanics. --- Mechanics, Applied. --- Building Construction and Design. --- Solid Mechanics. --- Complex Systems. --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Dynamics --- Quantum theory --- Buildings—Design and construction.

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This edited book is devoted specifically to the applications of complex nonlinear dynamic phenomena to real systems and device applications. While in the past decades there has been significant progress in the theory of nonlinear phenomena under an assortment of system boundary conditions and preparations, there exist comparatively few devices that actually take this rich behavior into account. "Device Applications of Nonlinear Dynamics" applies and exploits this knowledge to make devices which operate more efficiently and cheaply, while affording the promise of much better performance. Given the current explosion of ideas in areas as diverse as molecular motors, nonlinear filtering theory, noise-enhanced propagation, stochastic resonance and networked systems, the time is right to integrate the progress of complex systems research into real devices.

Nonlinear theories. --- Dynamics. --- Sensor networks. --- Théories non linéaires --- Dynamique --- Réseaux de capteurs --- Nonlinear devices. --- Nonlinear theories --- Dynamics --- Engineering & Applied Sciences --- Civil & Environmental Engineering --- Applied Physics --- Civil Engineering --- Nonlinear problems --- Nonlinearity (Mathematics) --- Dynamical systems --- Kinetics --- Engineering. --- Ergodic theory. --- Statistical physics. --- Dynamical systems. --- Applied mathematics. --- Engineering mathematics. --- Vibration. --- Vibration, Dynamical Systems, Control. --- Statistical Physics, Dynamical Systems and Complexity. --- Appl.Mathematics/Computational Methods of Engineering. --- Dynamical Systems and Ergodic Theory. --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Calculus --- Mathematical analysis --- Mathematical physics --- Differentiable dynamical systems. --- Complex Systems. --- Mathematical and Computational Engineering. --- Statistical Physics and Dynamical Systems. --- Mathematical statistics --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics --- Engineering --- Engineering analysis --- Cycles --- Sound --- Statistical methods --- Ergodic transformations --- Continuous groups --- Measure theory --- Transformations (Mathematics)

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This carefully edited book presents a focused debate on the mathematics and physics of chaos, nonlinearity and complexity in nature. It explores the role of non-extensive statistical mechanics in non-equilibrium thermodynamics, and presents an overview of the strong nonlinearity of chaos and complexity in natural systems that draws on the relevant mathematics from topology, measure-theory, inverse and ill-posed problems, set-valued analysis, and nonlinear functional analysis. It presents a self-contained scientific theory of complexity and complex systems as the steady state of non-equilibrium systems, denoting a homeostatic dynamic equilibrium between stabilizing order and destabilizing disorder.

Chaotic behavior in systems --- Nonlinear theories --- Dynamics --- Nonlinear systems. --- Systèmes non linéaires --- Mathematical models. --- Chaos --- Dynamique --- Modèles mathématiques --- Chaotic behavior in systems -- Congresses. --- Electronic books. -- local. --- Nonlinear systems -- Congresses. --- Nonlinear systems --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Civil Engineering --- Applied Mathematics --- Sciences - General --- Mathematical models --- Systems, Nonlinear --- Computer science. --- Computers. --- Artificial intelligence. --- Applied mathematics. --- Engineering mathematics. --- Statistical physics. --- Dynamical systems. --- Vibration. --- Dynamics. --- Computer Science. --- Theory of Computation. --- Appl.Mathematics/Computational Methods of Engineering. --- Statistical Physics, Dynamical Systems and Complexity. --- Artificial Intelligence (incl. Robotics). --- Applications of Mathematics. --- Vibration, Dynamical Systems, Control. --- System theory --- Information theory. --- Mathematics. --- Mathematical and Computational Engineering. --- Complex Systems. --- Artificial Intelligence. --- Cycles --- Mechanics --- Sound --- Math --- Science --- AI (Artificial intelligence) --- Artificial thinking --- Electronic brains --- Intellectronics --- Intelligence, Artificial --- Intelligent machines --- Machine intelligence --- Thinking, Artificial --- Bionics --- Cognitive science --- Digital computer simulation --- Electronic data processing --- Logic machines --- Machine theory --- Self-organizing systems --- Simulation methods --- Fifth generation computers --- Neural computers --- Engineering --- Engineering analysis --- Mathematical analysis --- Communication theory --- Communication --- Cybernetics --- Mathematics --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Physics --- Statics --- Mathematical statistics --- Automatic computers --- Automatic data processors --- Computer hardware --- Computing machines (Computers) --- Electronic calculating-machines --- Electronic computers --- Hardware, Computer --- Computer systems --- Calculators --- Cyberspace --- Statistical methods --- Chaos in systems --- Chaos theory --- Chaotic motion in systems --- Differentiable dynamical systems --- Nonlinear problems --- Nonlinearity (Mathematics) --- Calculus --- Mathematical physics --- Nonlinearity --- Complex systems