Complexity and control : towards a rigorous behavioral theory of complex dynamical systems
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| Main Authors: | , |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
New Jersey :
World Scientific,
[2015]
|
| Series: | Series on stability, vibration, and control of systems.
volume 20. |
| Subjects: | |
| ISBN: | 9789814635875 9781680158502 9789814635868 |
| Physical Description: | 1 online zdroj (xix, 589 pages). |
Cover
Table of contents
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| 020 | |a 9781680158502 |q (ebook) | ||
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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 zdroj (xix, 589 pages). | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a počítač |b c |2 rdamedia | ||
| 338 | |a online zdroj |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. | ||
| 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: Spinors""""2.2.3 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 Manifolds""""2.5 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""; ""Kalmanas 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"" | |
| 590 | |a Knovel Library |b ACADEMIC - Process Design, Control & Automation | ||
| 506 | |a Plný text je dostupný pouze z IP adres počítačů Univerzity Tomáše Bati ve Zlíně nebo vzdáleným přístupem pro zaměstnance a studenty univerzity | ||
| 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. | |
| 655 | 7 | |a elektronické knihy |7 fd186907 |2 czenas | |
| 655 | 9 | |a electronic books |2 eczenas | |
| 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://proxy.k.utb.cz/login?url=http://app.knovel.com/hotlink/toc/id:kpCCTRBTC2/complexity_and_control__towards_a_rigorous_behavioral_theory_of_complex_dynamical_systems |y Plný text |
| 992 | |a BK |c KNOVEL | ||
| 999 | |c 82826 |d 82826 | ||
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