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Complexity and control : towards a rigorous behavioral theory of complex dynamical systems /
The book Complexity and Control: Towards a Rigorous Behavioral Theory of Complex Dynamical Systems is a graduate-level monographic textbook, intended to be a novel and rigorous contribution to modern Complexity Theory. This book contains 11 chapters and is designed as a one-semester course for engin...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New Jersey :
World Scientific,
[2015]
|
| Colección: | Series on stability, vibration, and control of systems.
volume 20. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Ivancevic, Vladimir G., |e author. | |
| 245 | 1 | 0 | |a Complexity and control : |b towards a rigorous behavioral theory of complex dynamical systems / |c Vladimir G Ivancevic (Defence Science & Technology Organisation, Australia), Darryn J Reid (Defence Science & Technology Organisation, Australia). |
| 264 | 1 | |a New Jersey : |b World Scientific, |c [2015] | |
| 264 | 4 | |c ©2015 | |
| 300 | |a 1 online resource (xix, 589 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Series on stability, vibration and control of systems, Series A ; |v volume 20 | |
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Contents -- Preface -- Acknowledgments -- Glossary of Frequently Used Symbols -- 1 Introduction -- 2 Local Geometrical Machinery for Complexity and Control -- 2.1 Introduction: Why Kahler Manifolds? -- 2.1.1 Dynamical Prologue: Complex Hamiltonian Dynamics -- 2.1.2 Unified Behavioral Picture: Kahler Geometrodynamics -- 2.2 Complex Manifolds and Their Vector Bundles -- 2.2.1 Behavioral Dynamics on Complex Plane -- Behavioral dynamics in the complex plane C -- Holomorphic functions and their differential operators in C -- Residues of meromorphic functions in C | |
| 505 | 8 | |a 2.2.2 3D Rotations: Spinors2.2.3 Attractor Dynamics on Riemann Surfaces -- Why Riemann surfaces? -- 2.2.4 Complex Manifolds and Vector Bundles -- 2.2.5 (Co)Tangent Spaces to the Complex Manifold -- 2.2.6 Complex Vector Bundles -- 2.3 From Kalman Systems to Riemann Manifolds -- 2.4 Basic Kahler Geometry -- 2.4.1 Essential Kahler Tensors and Cohomology Groups -- 2.4.2 Global Kahler Geometry -- Fano manifolds -- Kahler structures -- Two Kahler structures and two alternative points of view -- 2.4.3 Local Kahler Geometry -- Symplectic coordinates | |
| 505 | 8 | |a 2.4.4 Invariant Hamiltonian Dynamics on Kahler Manifolds2.5 Dynamics on Quaternion-Kahler Manifolds -- 2.5.1 Quaternion-Kahler Manifolds -- 2.5.2 Hamiltonian Dynamics on Quaternion-Kahler Manifolds -- 2.5.3 Lagrangian Dynamics on Quaternion-Kahler Manifolds -- 2.6 Kahler-Ricci-Flow Framework -- 2.6.1 Motivation for the Kahler-Ricci Flow -- 2.6.2 Ricci Flow on a Kahler Manifold -- 2.6.3 Definition of the Kahler-Ricci Flow -- 2.6.4 Evolution of the Kahler-Perelman Entropy -- 2.7 Summary of Kahler-Ricci Geometrical Dynamics -- 2.8 Appendix | |
| 505 | 8 | |a ""2.8.1 Real Banach and Complex Hilbert Spaces""""2.8.2 From Linear to Nonlinear MIMO Control Theory""; ""Kalman�s Linear State-Space Formalism""; ""Basics of Kalman Filtering""; ""Extended (Nonlinear) Kalman Filter""; ""Ensemble Kalman Filter and Nonlinear Estimation""; ""Affine Nonlinear Control System""; ""Lie Derivative and Lie Bracket in Control Theory""; ""Example: Car-Parking Using Lie Brackets""; ""2.8.3 Basic Complexity Geometrodynamics""; ""Basic Tensor Machinery""; ""Tensor Derivatives on Riemannian Manifolds""; ""Covariant Form of Gradient, Divergence, Curl and Laplacian"" | |
| 505 | 8 | |a ""The Absolute Derivative and 3D Curve Geometry""""Covariant state equation""; ""Basic Exterior Machinery""; ""Basic Manifold Machinery""; ""Tensor Fields and Bundles""; ""Basic de Rham Machinery""; ""Exterior Lagrangian Systems""; ""Basic Gauge Fields""; ""Basic Lie Groups and Their Lie Algebras""; ""2.8.4 Advanced Complexity Geometrodynamics""; ""Basic Riemannian-Ricci Machinery""; ""Basic Hamiltonian Machinery""; ""Pontryagin�s Maximum Principle""; ""Affine Control Systems""; ""Basic Hodge Machinery""; ""Basic Applications to Quantum Field Theory""; ""Lie Algebra-Valued Exterior Forms"" | |
| 520 | |a The book Complexity and Control: Towards a Rigorous Behavioral Theory of Complex Dynamical Systems is a graduate-level monographic textbook, intended to be a novel and rigorous contribution to modern Complexity Theory. This book contains 11 chapters and is designed as a one-semester course for engineers; applied and pure mathematicians; theoretical and experimental physicists; computer and economic scientists; theoretical chemists and biologists, as well as all mathematically educated scientists and students, both in industry and academia, interested in predicting and controlling complex dynamical systems of arbitrary nature. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Differentiable dynamical systems. | |
| 650 | 0 | |a Chaotic behavior in systems. | |
| 650 | 0 | |a System analysis. | |
| 650 | 0 | |a Control theory. | |
| 650 | 0 | |a Computational complexity. | |
| 650 | 2 | |a Systems Analysis | |
| 650 | 6 | |a Dynamique différentiable. | |
| 650 | 6 | |a Chaos. | |
| 650 | 6 | |a Analyse de systèmes. | |
| 650 | 6 | |a Théorie de la commande. | |
| 650 | 6 | |a Complexité de calcul (Informatique) | |
| 650 | 7 | |a systems analysis. |2 aat | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Chaotic behavior in systems |2 fast | |
| 650 | 7 | |a Computational complexity |2 fast | |
| 650 | 7 | |a Control theory |2 fast | |
| 650 | 7 | |a Differentiable dynamical systems |2 fast | |
| 650 | 7 | |a System analysis |2 fast | |
| 700 | 1 | |a Reid, Darryn J., |e author. | |
| 776 | 0 | 8 | |i Print version: |a Ivancevic, Vladimir G. |t Complexity and control. |d New Jersey : World Scientific, [2014] |z 9789814635868 |w (DLC) 2014038712 |w (OCoLC)897436901 |
| 830 | 0 | |a Series on stability, vibration, and control of systems. |n Series A ; |v volume 20. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=925642 |z Texto completo |
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