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The art of modeling dynamic systems : forecasting for chaos, randomness, and determinism
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ISBN: 0471520047 9780471520047 Year: 1991 Publisher: New York Chichester Toronto Wiley

Nonlinearity, chaos, and complexity
Authors: ---
ISBN: 128096510X 0191524441 1429421584 9780191524448 9781280965104 9781429421584 9786610965106 6610965102 9780198567905 0198567901 9780198567912 019856791X 0198567901 019856791X 1383029776 Year: 2005 Publisher: Oxford New York Oxford University Press

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Abstract

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.


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Extracting knowledge from time series : an introduction to nonlinear empirical modeling
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ISBN: 3642126006 9786612984129 3642126014 1282984128 9783642126000 Year: 2010 Publisher: Heidelberg ; New York : Springer,

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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.


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Polystochastic models for complexity
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ISBN: 3642106536 9786612837722 3642106544 1282837729 Year: 2010 Publisher: Berlin ; Heidelberg : Springer,

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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.

Keywords

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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