Complexity And Control: Towards A Rigorous Behavioral Theory Of Complex Dynamical Systems: Towards a Rigorous Behavioral Theory of Complex Dynamical Systems

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:

• White noise analysis is a relatively young mathematical research area. This volume will present and demonstrate how this new, powerful mathematical tool can be effectively utilized and applied to current problems in the interdisciplinary sciences
• It combines white noise analysis with the equally powerful Feynman path integral, thus allowing us to track the evolution even of systems with memory and strong correlations
• It is user-friendly