Geometrical Dynamics of Complex Systems

A Unified Modelling Approach to Physics, Control, Biomechanics, Neurodynamics and Psycho-Socio-Economical Dynamics

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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.