Geometrical Dynamics of Complex Systems A Unified Modelling Approach to Physics, Control, Biomechanics, Neurodynamics and Psycho-Socio-Economical Dynamics /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Ivancevic, Vladimir G. (Editor), Ivancevic, Tijana T. (Editor)
• Format: Electronic eBook
• Language: English
• Published: Dordrecht : Springer Netherlands, 2006.
• Series: Microprocessor-Based and Intelligent Systems Engineering ; 31
• Subjects: Physics.; System theory.; Statistical physics.; Dynamical systems.; Applied mathematics.; Engineering mathematics.; Control engineering.; Physics, general.; Control.; Appl.Mathematics/Computational Methods of Engineering.; Systems Theory, Control.; Mathematical Methods in Physics.; Statistical Physics, Dynamical Systems and Complexity.

Table of 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.