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Dynamics --- Chaotic behavior in systems --- Stochastic processes --- Processus stochastiques --- Mathematical models --- Modèles mathématiques --- Dynamique --- Chaos --- Modèles mathématiques --- Congresses --- Dynamics - Mathematical models --- Chaotic behavior in systems - Mathematical models --- Stochastic processes - Mathematical models
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Covering a broad range of topics and adopting a detailed philosophical approach to the subject, this text provides a comprehensive survey of the modelling of chaotic dynamics and complexity in the natural and social sciences.
Chaotic behavior in systems --- Nonlinear theories --- Dynamics --- Nonlinear problems --- Nonlinearity (Mathematics) --- Calculus --- Mathematical analysis --- Mathematical physics --- Chaos in systems --- Chaos theory --- Chaotic motion in systems --- Differentiable dynamical systems --- System theory --- Mathematical models. --- Mathematical models --- Chaotic behavior in systems - Mathematical models --- Nonlinear theories - Mathematical models --- Dynamics - Mathematical models
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This book addresses the fundamental question of how to construct mathematical models for the evolution of dynamical systems from experimentally-obtained time series. It places emphasis on chaotic signals and nonlinear modeling and discusses different approaches to the forecast of future system evolution. In particular, it teaches readers how to construct difference and differential model equations depending on the amount of a priori information that is available on the system in addition to the experimental data sets. This book will benefit graduate students and researchers from all natural sciences who seek a self-contained and thorough introduction to this subject.
Chaotic behavior in systems -- Mathematical models. --- Synergetics. --- Physical Sciences & Mathematics --- Physics --- Atomic Physics --- Sciences - General --- Mathematical models. --- Game theory. --- Games, Theory of --- Theory of games --- Models, Mathematical --- Physics. --- Geophysics. --- Economics, Mathematical. --- Statistical physics. --- Dynamical systems. --- Environmental sciences. --- Economic theory. --- Statistical Physics, Dynamical Systems and Complexity. --- Geophysics/Geodesy. --- Quantitative Finance. --- Economic Theory/Quantitative Economics/Mathematical Methods. --- Environmental Physics. --- Mathematical models --- Mathematics --- Simulation methods --- Physical geography. --- Finance. --- Complex Systems. --- Statistical Physics and Dynamical Systems. --- Mathematical statistics --- Economic theory --- Political economy --- Social sciences --- Economic man --- Funding --- Funds --- Economics --- Currency question --- Geography --- Statistical methods --- Economics, Mathematical . --- Environmental science --- Science --- Mathematical economics --- Econometrics --- Geological physics --- Terrestrial physics --- Earth sciences --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Statics --- Methodology
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This book is devoted to complexity understanding and management, considered as the main source of efficiency and prosperity for the next decades. Divided into six chapters, the book begins with a presentation of basic concepts as complexity, emergence and closure. The second chapter looks to methods and introduces polystochastic models, the wave equation, possibilities and entropy. The third chapter focusing on physical and chemical systems analyzes flow-sheet synthesis, cyclic operations of separation, drug delivery systems and entropy production. Biomimetic systems represent the main objective of the fourth chapter. Case studies refer to bio-inspired calculation methods, to the role of artificial genetic codes, neural networks and neural codes for evolutionary calculus and for evolvable circuits as biomimetic devices. The fifth chapter, taking its inspiration from systems sciences and cognitive sciences looks to engineering design, case base reasoning methods, failure analysis, and multi-agent manufacturing systems. Perspectives and integrative points of view are discussed in the sixth chapter with reference to the classification of sciences, cybernetics and its extensions, and to transdisciplinarity and categorification. Written for: engineers, researchers, and students in chemical, biochemical, computing and systems science engineering, in neuroscience, psychology, philosophy and mathematics.
Chaotic behavior in systems -- Mathematical models. --- Electronic books. -- local. --- Stochastic analysis. --- Chaotic behavior in systems --- Stochastic analysis --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Computer Science --- Sciences - General --- Mathematical models --- Mathematical models. --- Analysis, Stochastic --- Chaos in systems --- Chaos theory --- Chaotic motion in systems --- Engineering. --- Artificial intelligence. --- Dynamics. --- Ergodic theory. --- System theory. --- Complexity, Computational. --- Complexity. --- Complex Systems. --- Artificial Intelligence (incl. Robotics). --- Dynamical Systems and Ergodic Theory. --- Statistical Physics and Dynamical Systems. --- Complexity, Computational --- Electronic data processing --- Machine theory --- Systems, Theory of --- Systems science --- Science --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- AI (Artificial intelligence) --- Artificial thinking --- Electronic brains --- Intellectronics --- Intelligence, Artificial --- Intelligent machines --- Machine intelligence --- Thinking, Artificial --- Bionics --- Cognitive science --- Digital computer simulation --- Logic machines --- Self-organizing systems --- Simulation methods --- Fifth generation computers --- Neural computers --- Construction --- Industrial arts --- Technology --- Philosophy --- Mathematical analysis --- Stochastic processes --- Differentiable dynamical systems --- Dynamics --- Nonlinear theories --- System theory --- Differentiable dynamical systems. --- Statistical physics. --- Artificial Intelligence. --- Mathematical statistics --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics --- Statistical methods --- Computational complexity. --- Dynamical systems.
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