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Mathematics of Complexity and Dynamical Systems

by Meyers, Robert A.
Authors: SpringerLink (Online service) Physical details: XXIX, 1858p. 489 illus., 140 illus. in color. eReference. In 3 volumes, not available separately. online resource. ISBN: 1461418062 Subject(s): Mathematics. | Computer simulation. | Differentiable dynamical systems. | Differential Equations. | Systems theory. | Mathematics. | Complex Systems. | Simulation and Modeling. | Dynamical Systems and Ergodic Theory. | Statistical Physics, Dynamical Systems and Complexity. | Systems Theory, Control. | Ordinary Differential Equations.
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E-Book E-Book AUM Main Library 519 (Browse Shelf) Not for loan

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.

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.

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