LEADER 04408nam 22007695 450 001 9910254623203321 005 20220414233726.0 010 $a3-662-49078-1 024 7 $a10.1007/978-3-662-49078-5 035 $a(CKB)3710000000621673 035 $a(EBL)4456501 035 $a(SSID)ssj0001654004 035 $a(PQKBManifestationID)16433765 035 $a(PQKBTitleCode)TC0001654004 035 $a(PQKBWorkID)14982456 035 $a(PQKB)10164726 035 $a(DE-He213)978-3-662-49078-5 035 $a(MiAaPQ)EBC4456501 035 $a(PPN)192769553 035 $a(EXLCZ)993710000000621673 100 $a20160323d2016 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aBoundaries of a complex world /$fby Andrei Ludu 205 $a1st ed. 2016. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2016. 215 $a1 online resource (365 p.) 225 1 $aSpringer Series in Synergetics,$x0172-7389 300 $aDescription based upon print version of record. 311 $a3-662-49076-5 320 $aIncludes bibliographical references and index. 327 $aPart I Arts and Nonlinear Systems: `Nonlineart' -- Part II Mathematical Language -- Part III Applications -- Conclusions -- References. 330 $aThe central theme of this book is the extent to which the structure of the free dynamical boundaries of a system controls the evolution of the system as a whole. Applying three orthogonal types of thinking - mathematical, constructivist and morphological, it illustrates these concepts using applications to selected problems from the social and life sciences, as well as economics.  In a broader context, it introduces and reviews some modern mathematical approaches to the science of complex systems. Standard modeling approaches (based on non-linear differential equations, dynamic systems, graph theory, cellular automata, stochastic processes, or information theory) are suitable for studying local problems. However they cannot simultaneously take into account all the different facets and phenomena of a complex system, and new approaches are required to solve the challenging problem of correlations between phenomena at different levels and hierarchies, their self-organization and memory-evolutive aspects, the growth of additional structures and are ultimately required to explain why and how such complex systems can display both robustness and flexibility.   This graduate-level text also addresses a broader interdisciplinary audience, keeping the mathematical level essentially uniform throughout the book, and involving only basic elements from calculus, algebra, geometry and systems theory.  . 410 0$aSpringer Series in Synergetics,$x0172-7389 606 $aStatistical physics 606 $aSystem theory 606 $aComputational complexity 606 $aSystems biology 606 $aEcology  606 $aPhysical geography 606 $aApplications of Nonlinear Dynamics and Chaos Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P33020 606 $aComplex Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/M13090 606 $aComplexity$3https://scigraph.springernature.com/ontologies/product-market-codes/T11022 606 $aSystems Biology$3https://scigraph.springernature.com/ontologies/product-market-codes/L15010 606 $aTheoretical Ecology/Statistics$3https://scigraph.springernature.com/ontologies/product-market-codes/L19147 606 $aEarth System Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/G35000 615 0$aStatistical physics. 615 0$aSystem theory. 615 0$aComputational complexity. 615 0$aSystems biology. 615 0$aEcology . 615 0$aPhysical geography. 615 14$aApplications of Nonlinear Dynamics and Chaos Theory. 615 24$aComplex Systems. 615 24$aComplexity. 615 24$aSystems Biology. 615 24$aTheoretical Ecology/Statistics. 615 24$aEarth System Sciences. 676 $a530 700 $aLudu$b Andrei$4aut$4http://id.loc.gov/vocabulary/relators/aut$0799765 906 $aBOOK 912 $a9910254623203321 996 $aBoundaries of a Complex World$91800488 997 $aUNINA