Mathematics of Complexity and Dynamical Systems is an authoritative referenceto the basic tools and concepts of complexity, systems theory, and dynamical systems from the perspective of pure and applied mathematics. Complex systemsare systems that comprise many interacting parts with the ability to generatea 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 wellas 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. Provides an in-depth treatment of the study of mathematical complexity anddynamical systems. Presents theory, techniques and applications. Demonstrateshow the behavior of an entire system is often more than the sum of its parts.Gathers together more than 100 mathematically-oriented, peer-reviewed entriesfrom the 11-volume Encyclopedia of Complexity and Systems Science INDICE: 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.
- ISBN: 978-1-4614-1805-4
- Editorial: Springer New York
- Encuadernacion: Cartoné
- Páginas: 1858
- Fecha Publicación: 29/11/2011
- Nº Volúmenes: 3
- Idioma: Inglés