Provides an in-depth treatment of the study of mathematical complexity and dynamical systems
Presents theory, techniques and applications
Demonstrates how the behavior of an entire system is often more than the sum of its parts
Gathers together more than 100 mathematically-oriented, peer-reviewed entries from the 11-volume Encyclopedia of Complexity and Systems Science
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.
Content Level »Research
Keywords »Dynamical Systems - Dynamical systems book - Ergodic Theory - Fractals and Multifractals - Mathematical Complexity book - Mathematical compexity reference - Non-Linear Ordinary Differential Equations and - Perturbation Theory - Solitons - Systems and Control Theory