| Description |
1 online resource (xxiii, 822 pages) : illustrations |
| Series |
International series on microprocessor-based and intelligent systems engineering ; v. 31 |
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International series on microprocessor-based and intelligent systems engineering ; v. 31.
|
| Contents |
From the contents Modern Geometrical Machinery -- Introduction -- Smooth Manifolds -- Fibre Bundles -- Jet Spaces -- Path Integrals: Extending Smooth Geometrical Machinery -- Dynamics of High -Dimensional Nonlinear Systems -- Mechanical Systems. Physical Field Systems -- Nonlinear Control Systems -- Human -- Like Biomechanics -- Neurodynamics -- Psycho -Socio -- Economic Dynamics -- Appendix: Tensors and Functors -- Elements of Classical Tensor Analysis -- Categories and Functors -- References -- Index |
| Summary |
"This volume presents a comprehensive introduction into rigorous geometrical dynamics of complex systems of various natures. By "complex systems", in this book are meant high-dimensional nonlinear systems, which can be (but not necessarily are) adaptive. This monograph proposes a unified geometrical approach to dynamics of complex systems of various kinds: engineering, physical, biophysical, psychophysical, sociophysical, econophysical, etc. As their names suggest, all these multi-input multi-output (MIMO) systems have something in common: the underlying physics. Using sophisticated machinery composed of differential geometry, topology and path integrals, this book proposes a unified approach to complex dynamics - of predictive power much greater than the currently popular "soft-science" approach to complex systems. The main objective of this book is to show that high-dimensional nonlinear systems in "real life" can be modeled and analyzed using rigorous mathematics, which enables their complete predictability and controllability, as if they were linear systems."--Jacket |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Print version record |
| In |
Springer e-books |
| Subject |
Nonlinear systems.
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Dynamics.
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kinetics (dynamics)
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SCIENCE -- Chaotic Behavior in Systems.
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Dynamics.
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Nonlinear systems.
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Ingénierie.
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Dynamics
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Nonlinear systems
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| Form |
Electronic book
|
| Author |
Ivancevic, Tijana T
|
| ISBN |
9781402045455 |
|
140204545X |
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1402045441 |
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9781402045448 |
|
6610619484 |
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9786610619481 |
|
