LEADER 04668nam 22008655 450 001 9910484238003321 005 20200630195431.0 010 $a1-4614-1806-2 024 7 $a10.1007/978-1-4614-1806-1 035 $a(CKB)2670000000125790 035 $a(SSID)ssj0000610232 035 $a(PQKBManifestationID)11363082 035 $a(PQKBTitleCode)TC0000610232 035 $a(PQKBWorkID)10639554 035 $a(PQKB)10215554 035 $a(DE-He213)978-1-4614-1806-1 035 $a(MiAaPQ)EBC6315264 035 $a(MiAaPQ)EBC5575532 035 $a(Au-PeEL)EBL5575532 035 $a(OCoLC)1066177959 035 $a(PPN)156314908 035 $a(EXLCZ)992670000000125790 100 $a20111020d2011 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aMathematics of Complexity and Dynamical Systems$b[electronic resource] /$fedited by Robert A. Meyers 205 $a1st ed. 2011. 210 1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d2011. 215 $a1 online resource (489 illus., 140 illus. in color. eReference.) 225 1 $aSpringer reference 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a1-4614-1807-0 311 $a1-4614-1805-4 320 $aIncludes bibliographical references and index. 327 $aErgodic 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. 330 $aMathematics of Complexity and Dynamical Systems is an authoritative reference to the basic tools and concepts of complexity, systems theory, and dynamical systems from the perspective of pure and applied mathematics.  Complex systems are systems that comprise many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal, spatial or functional structures.  These systems are often characterized by extreme sensitivity to initial conditions as well as emergent behavior that are not readily predictable or even completely deterministic. The more than 100 entries in this wide-ranging, single source work provide a comprehensive explication of the theory and applications of mathematical complexity, covering ergodic theory, fractals and multifracticals, dynamical systems, perturbation theory, solitons, systems and control theory, and related topics.  Mathematics of Complexity and Dynamical Systems is an essential reference for all those interested in mathematical complexity, from undergraduate and graduate students up through professional researchers. 410 0$aSpringer reference. 606 $aSystem theory 606 $aComputer simulation 606 $aDynamics 606 $aErgodic theory 606 $aStatistical physics 606 $aDynamical systems 606 $aDifferential equations 606 $aComplex Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/M13090 606 $aSimulation and Modeling$3https://scigraph.springernature.com/ontologies/product-market-codes/I19000 606 $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X 606 $aComplex Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P33000 606 $aSystems Theory, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/M13070 606 $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147 615 0$aSystem theory. 615 0$aComputer simulation. 615 0$aDynamics. 615 0$aErgodic theory. 615 0$aStatistical physics. 615 0$aDynamical systems. 615 0$aDifferential equations. 615 14$aComplex Systems. 615 24$aSimulation and Modeling. 615 24$aDynamical Systems and Ergodic Theory. 615 24$aComplex Systems. 615 24$aSystems Theory, Control. 615 24$aOrdinary Differential Equations. 676 $a003 702 $aMeyers$b Robert A$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910484238003321 996 $aMathematics of Complexity and Dynamical Systems$92845836 997 $aUNINA