Complexity and Control

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 ... Read more

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. Contents: Introduction; Local Geometrical Machinery for Complexity and Control; Global Categorical Framework for Complexity and Control; Dynamics of Crowd Behaviors: From Complex Plane to Quantum Random Fields; Hierarchical Self-Similarity in Group and Crowd Behaviors; Hybrid Topological Lie-Hamiltonian Learning in Evolving Energy Landscapes; Complexity and Control in Solitary Conductive PDEs; Quantum-Computation for Perceptual Control Architecture; Complexity and Control in Entropic and Stochastic Self-Organization; Crash Simulator: Brain-and-Spine Injury Mechanics; Conclusion; Code Samples Used for Complexity and Control. Readership: Professional and researchers in the field of nonlinear science, chaos and dynamical and complex systems. Key Features: Unique approach of generalized dynamics, rooted in the most powerful Kähler geometry, combining Lagrangian, Hamiltonian and quantum systems; Unique visual framework of commutative diagrams and n-categories; Plenty of computational algorithms in Mathematica, Matlab, C#, C/C++ and Fortran 90 Less