04668nam 22008655 450 991048423800332120200630195431.01-4614-1806-210.1007/978-1-4614-1806-1(CKB)2670000000125790(SSID)ssj0000610232(PQKBManifestationID)11363082(PQKBTitleCode)TC0000610232(PQKBWorkID)10639554(PQKB)10215554(DE-He213)978-1-4614-1806-1(MiAaPQ)EBC6315264(MiAaPQ)EBC5575532(Au-PeEL)EBL5575532(OCoLC)1066177959(PPN)156314908(EXLCZ)99267000000012579020111020d2011 u| 0engurnn|008mamaatxtccrMathematics of Complexity and Dynamical Systems[electronic resource] /edited by Robert A. Meyers1st ed. 2011.New York, NY :Springer New York :Imprint: Springer,2011.1 online resource (489 illus., 140 illus. in color. eReference.) Springer referenceBibliographic Level Mode of Issuance: Monograph1-4614-1807-0 1-4614-1805-4 Includes bibliographical references and index.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.Springer reference.System theoryComputer simulationDynamicsErgodic theoryStatistical physicsDynamical systemsDifferential equationsComplex Systemshttps://scigraph.springernature.com/ontologies/product-market-codes/M13090Simulation and Modelinghttps://scigraph.springernature.com/ontologies/product-market-codes/I19000Dynamical Systems and Ergodic Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M1204XComplex Systemshttps://scigraph.springernature.com/ontologies/product-market-codes/P33000Systems Theory, Controlhttps://scigraph.springernature.com/ontologies/product-market-codes/M13070Ordinary Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12147System theory.Computer simulation.Dynamics.Ergodic theory.Statistical physics.Dynamical systems.Differential equations.Complex Systems.Simulation and Modeling.Dynamical Systems and Ergodic Theory.Complex Systems.Systems Theory, Control.Ordinary Differential Equations.003Meyers Robert Aedthttp://id.loc.gov/vocabulary/relators/edtMiAaPQMiAaPQMiAaPQBOOK9910484238003321Mathematics of Complexity and Dynamical Systems2845836UNINA