Mathematics of complexity and dynamical systems : with 489 figures and 25 tables

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Bibliographic Information

Mathematics of complexity and dynamical systems : with 489 figures and 25 tables

Robert A. Meyers (ed.)

Springer, c2012

  • : set
  • v. 1
  • v. 2
  • v. 3

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Includes bibliographical references and index

Description and Table of Contents

Description

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 multifractals, 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.

Table of Contents

  • 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.

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