Author: Vladimir G Ivancevic
Publisher: World Scientific
Published: 2014-11-07
Total Pages: 612
ISBN-13: 981463588X
DOWNLOAD EBOOK →
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:IntroductionLocal Geometrical Machinery for Complexity and ControlGlobal Categorical Framework for Complexity and ControlDynamics of Crowd Behaviors: From Complex Plane to Quantum Random FieldsHierarchical Self-Similarity in Group and Crowd BehaviorsHybrid Topological Lie-Hamiltonian Learning in Evolving Energy LandscapesComplexity and Control in Solitary Conductive PDEsQuantum-Computation for Perceptual Control ArchitectureComplexity and Control in Entropic and Stochastic Self-OrganizationCrash Simulator: Brain-and-Spine Injury MechanicsConclusionCode 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 systemsUnique visual framework of commutative diagrams and n-categoriesPlenty of computational algorithms in Mathematica, Matlab, C#, C/C++ and Fortran 90Keywords:Generalized Dynamics;Kähler Geometry;Lagrangian;Hamiltonian and Quantum Systems