1.

Record Nr.

UNINA9910484238003321

Titolo

Mathematics of Complexity and Dynamical Systems [[electronic resource] /] / edited by Robert A. Meyers

Pubbl/distr/stampa

New York, NY : , : Springer New York : , : Imprint : Springer, , 2011

ISBN

1-4614-1806-2

Edizione

[1st ed. 2011.]

Descrizione fisica

1 online resource (489 illus., 140 illus. in color. eReference.)

Collana

Springer reference

Disciplina

003

Soggetti

System theory

Computer simulation

Dynamics

Ergodic theory

Statistical physics

Dynamical systems

Differential equations

Complex Systems

Simulation and Modeling

Dynamical Systems and Ergodic Theory

Systems Theory, Control

Ordinary Differential Equations

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

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.

Sommario/riassunto

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.