TY - BOOK AU - Meyers,Robert A. ED - SpringerLink (Online service) TI - Mathematics of Complexity and Dynamical Systems SN - 9781461418061 AV - Q295 U1 - 519 23 PY - 2011/// CY - New York, NY PB - Springer New York, Imprint: Springer KW - Mathematics KW - Computer simulation KW - Differentiable dynamical systems KW - Differential Equations KW - Systems theory KW - Complex Systems KW - Simulation and Modeling KW - Dynamical Systems and Ergodic Theory KW - Statistical Physics, Dynamical Systems and Complexity KW - Systems Theory, Control KW - Ordinary Differential Equations N1 - Ergodic Theory -- Three Editor-in-Chief Selections: Catastrophe Theory; Infinite Dimensional Controllability; Philosophy of Science, Mathematical Models In.- Fractals and Multifractals -- Non-linear Ordinary Differential Equations and Dynamical Systems -- Non-Linear Partial Differential Equations -- Perturbation Theory -- Solitons -- Systems and Control Theory N2 - Mathematics of Complexity and Dynamical Systems is an authoritative reference to the basic tools and concepts of complexity, systems theory, and dynamical systems from the perspective of pure and applied mathematics.  Complex systems are systems that comprise many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal, spatial or functional structures.  These systems are often characterized by extreme sensitivity to initial conditions as well as emergent behavior that are not readily predictable or even completely deterministic. The more than 100 entries in this wide-ranging, single source work provide a comprehensive explication of the theory and applications of mathematical complexity, covering ergodic theory, fractals and multifracticals, dynamical systems, perturbation theory, solitons, systems and control theory, and related topics.  Mathematics of Complexity and Dynamical Systems is an essential reference for all those interested in mathematical complexity, from undergraduate and graduate students up through professional researchers UR - http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-1-4614-1806-1 ER -