Geometrical Dynamics of Complex Systems [electronic resource] : A Unified Modelling Approach to Physics, Control, Biomechanics, Neurodynamics and Psycho-Socio-Economical Dynamics /
Ivancevic, Vladimir G.author.
Ivancevic, Tijana T.author.
This volume presents a comprehensive introduction into rigorous geometrical dynamics of complex systems of various natures. ""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 c
Description based upon print version of record.
This volume presents a comprehensive introduction into rigorous geometrical dynamics of complex systems of various natures. ""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 c
Includes bibliographical references and index.
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.
Physics.
Control engineering.
Applied mathematics.
Engineering mathematics.
System theory.
Statistical physics.
Dynamical systems.
Physics, general.
Control and Systems Theory.
Mathematical and Computational Engineering.
Systems Theory, Control.
Mathematical Methods in Physics.
Complex Systems.
Intelligent Systems, Control and Automation: Science and Engineering