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...
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Hauptverfasser: | , |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
New Jersey :
World Scientific,
[2015]
|
Schriftenreihe: | Series on stability, vibration, and control of systems.
volume 20. |
Schlagworte: | |
Online-Zugang: | Volltext |
Zusammenfassung: | 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. |
Beschreibung: | 1 online resource (xix, 589 pages) |
Bibliographie: | Includes bibliographical references and index. |
ISBN: | 9789814635875 9814635871 9781680158502 1680158503 |
Internformat
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100 | 1 | |a Ivancevic, Vladimir G., |e author. |0 http://id.loc.gov/authorities/names/nb2006002947 | |
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. | ||
650 | 0 | |a Differentiable dynamical systems. |0 http://id.loc.gov/authorities/subjects/sh85037882 | |
650 | 0 | |a Chaotic behavior in systems. |0 http://id.loc.gov/authorities/subjects/sh85022562 | |
650 | 0 | |a System analysis. | |
650 | 0 | |a Control theory. |0 http://id.loc.gov/authorities/subjects/sh85031658 | |
650 | 0 | |a Computational complexity. |0 http://id.loc.gov/authorities/subjects/sh85029473 | |
650 | 2 | |a Systems Analysis |0 https://id.nlm.nih.gov/mesh/D013597 | |
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 | |
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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. |0 http://id.loc.gov/authorities/names/n2014074008 | |
758 | |i has work: |a Complexity and control (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGFvXPWRJJT3wQj3Hq93Bd |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
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author | Ivancevic, Vladimir G. Reid, Darryn J. |
author_GND | http://id.loc.gov/authorities/names/nb2006002947 http://id.loc.gov/authorities/names/n2014074008 |
author_facet | Ivancevic, Vladimir G. Reid, Darryn J. |
author_role | aut aut |
author_sort | Ivancevic, Vladimir G. |
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contents | 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 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 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 ""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"" ""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"" |
ctrlnum | (OCoLC)898070240 |
dewey-full | 515/.39 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 515 - Analysis |
dewey-raw | 515/.39 |
dewey-search | 515/.39 |
dewey-sort | 3515 239 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Electronic eBook |
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systems, Series A ;</subfield><subfield code="v">volume 20</subfield></datafield><datafield tag="504" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references and index.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Print version record.</subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="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</subfield></datafield><datafield tag="505" ind1="8" ind2=" 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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</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">""2.8.1 Real Banach and Complex Hilbert Spaces""""2.8.2 From Linear to Nonlinear MIMO Control Theory""; ""Kalmanâ€?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""</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">""The Absolute Derivative and 3D Curve 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id | ZDB-4-EBA-ocn898070240 |
illustrated | Not Illustrated |
indexdate | 2024-11-27T13:26:22Z |
institution | BVB |
isbn | 9789814635875 9814635871 9781680158502 1680158503 |
language | English |
oclc_num | 898070240 |
open_access_boolean | |
owner | MAIN DE-863 DE-BY-FWS |
owner_facet | MAIN DE-863 DE-BY-FWS |
physical | 1 online resource (xix, 589 pages) |
psigel | ZDB-4-EBA |
publishDate | 2015 |
publishDateSearch | 2015 |
publishDateSort | 2015 |
publisher | World Scientific, |
record_format | marc |
series | Series on stability, vibration, and control of systems. |
series2 | Series on stability, vibration and control of systems, Series A ; |
spelling | Ivancevic, Vladimir G., author. http://id.loc.gov/authorities/names/nb2006002947 Complexity and control : towards a rigorous behavioral theory of complex dynamical systems / Vladimir G Ivancevic (Defence Science & Technology Organisation, Australia), Darryn J Reid (Defence Science & Technology Organisation, Australia). New Jersey : World Scientific, [2015] ©2015 1 online resource (xix, 589 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Series on stability, vibration and control of systems, Series A ; volume 20 Includes bibliographical references and index. Print version record. 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 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 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 ""2.8.1 Real Banach and Complex Hilbert Spaces""""2.8.2 From Linear to Nonlinear MIMO Control Theory""; ""Kalmanâ€?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"" ""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""; ""Pontryaginâ€?s Maximum Principle""; ""Affine Control Systems""; ""Basic Hodge Machinery""; ""Basic Applications to Quantum Field Theory""; ""Lie Algebra-Valued Exterior Forms"" 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. Differentiable dynamical systems. http://id.loc.gov/authorities/subjects/sh85037882 Chaotic behavior in systems. http://id.loc.gov/authorities/subjects/sh85022562 System analysis. Control theory. http://id.loc.gov/authorities/subjects/sh85031658 Computational complexity. http://id.loc.gov/authorities/subjects/sh85029473 Systems Analysis https://id.nlm.nih.gov/mesh/D013597 Dynamique différentiable. Chaos. Analyse de systèmes. Théorie de la commande. Complexité de calcul (Informatique) systems analysis. aat MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Chaotic behavior in systems fast Computational complexity fast Control theory fast Differentiable dynamical systems fast System analysis fast Reid, Darryn J., author. http://id.loc.gov/authorities/names/n2014074008 has work: Complexity and control (Text) https://id.oclc.org/worldcat/entity/E39PCGFvXPWRJJT3wQj3Hq93Bd https://id.oclc.org/worldcat/ontology/hasWork Print version: Ivancevic, Vladimir G. Complexity and control. New Jersey : World Scientific, [2014] 9789814635868 (DLC) 2014038712 (OCoLC)897436901 Series on stability, vibration, and control of systems. Series A ; volume 20. http://id.loc.gov/authorities/names/n97060398 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=925642 Volltext |
spellingShingle | Ivancevic, Vladimir G. Reid, Darryn J. Complexity and control : towards a rigorous behavioral theory of complex dynamical systems / Series on stability, vibration, and control of systems. 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 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 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 ""2.8.1 Real Banach and Complex Hilbert Spaces""""2.8.2 From Linear to Nonlinear MIMO Control Theory""; ""Kalmanâ€?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"" ""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""; ""Pontryaginâ€?s Maximum Principle""; ""Affine Control Systems""; ""Basic Hodge Machinery""; ""Basic Applications to Quantum Field Theory""; ""Lie Algebra-Valued Exterior Forms"" Differentiable dynamical systems. http://id.loc.gov/authorities/subjects/sh85037882 Chaotic behavior in systems. http://id.loc.gov/authorities/subjects/sh85022562 System analysis. Control theory. http://id.loc.gov/authorities/subjects/sh85031658 Computational complexity. http://id.loc.gov/authorities/subjects/sh85029473 Systems Analysis https://id.nlm.nih.gov/mesh/D013597 Dynamique différentiable. Chaos. Analyse de systèmes. Théorie de la commande. Complexité de calcul (Informatique) systems analysis. aat MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Chaotic behavior in systems fast Computational complexity fast Control theory fast Differentiable dynamical systems fast System analysis fast |
subject_GND | http://id.loc.gov/authorities/subjects/sh85037882 http://id.loc.gov/authorities/subjects/sh85022562 http://id.loc.gov/authorities/subjects/sh85031658 http://id.loc.gov/authorities/subjects/sh85029473 https://id.nlm.nih.gov/mesh/D013597 |
title | Complexity and control : towards a rigorous behavioral theory of complex dynamical systems / |
title_auth | Complexity and control : towards a rigorous behavioral theory of complex dynamical systems / |
title_exact_search | Complexity and control : towards a rigorous behavioral theory of complex dynamical systems / |
title_full | Complexity and control : towards a rigorous behavioral theory of complex dynamical systems / Vladimir G Ivancevic (Defence Science & Technology Organisation, Australia), Darryn J Reid (Defence Science & Technology Organisation, Australia). |
title_fullStr | Complexity and control : towards a rigorous behavioral theory of complex dynamical systems / Vladimir G Ivancevic (Defence Science & Technology Organisation, Australia), Darryn J Reid (Defence Science & Technology Organisation, Australia). |
title_full_unstemmed | Complexity and control : towards a rigorous behavioral theory of complex dynamical systems / Vladimir G Ivancevic (Defence Science & Technology Organisation, Australia), Darryn J Reid (Defence Science & Technology Organisation, Australia). |
title_short | Complexity and control : |
title_sort | complexity and control towards a rigorous behavioral theory of complex dynamical systems |
title_sub | towards a rigorous behavioral theory of complex dynamical systems / |
topic | Differentiable dynamical systems. http://id.loc.gov/authorities/subjects/sh85037882 Chaotic behavior in systems. http://id.loc.gov/authorities/subjects/sh85022562 System analysis. Control theory. http://id.loc.gov/authorities/subjects/sh85031658 Computational complexity. http://id.loc.gov/authorities/subjects/sh85029473 Systems Analysis https://id.nlm.nih.gov/mesh/D013597 Dynamique différentiable. Chaos. Analyse de systèmes. Théorie de la commande. Complexité de calcul (Informatique) systems analysis. aat MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Chaotic behavior in systems fast Computational complexity fast Control theory fast Differentiable dynamical systems fast System analysis fast |
topic_facet | Differentiable dynamical systems. Chaotic behavior in systems. System analysis. Control theory. Computational complexity. Systems Analysis Dynamique différentiable. Chaos. Analyse de systèmes. Théorie de la commande. Complexité de calcul (Informatique) systems analysis. MATHEMATICS Calculus. MATHEMATICS Mathematical Analysis. Chaotic behavior in systems Computational complexity Control theory Differentiable dynamical systems System analysis |
url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=925642 |
work_keys_str_mv | AT ivancevicvladimirg complexityandcontroltowardsarigorousbehavioraltheoryofcomplexdynamicalsystems AT reiddarrynj complexityandcontroltowardsarigorousbehavioraltheoryofcomplexdynamicalsystems |