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001 978-3-642-36586-7
003 DE-He213
005 20140220082905.0
007 cr nn 008mamaa
008 130423s2013 gw | s |||| 0|eng d
020 _a9783642365867
_9978-3-642-36586-7
024 7 _a10.1007/978-3-642-36586-7
_2doi
050 4 _aQC1-QC999
072 7 _aPHU
_2bicssc
072 7 _aPBKD
_2bicssc
072 7 _aSCI064000
_2bisacsh
082 0 4 _a621
_223
100 1 _aGros, Claudius.
_eauthor.
245 1 0 _aComplex and Adaptive Dynamical Systems
_h[electronic resource] :
_bA Primer /
_cby Claudius Gros.
250 _a3rd ed. 2013.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2013.
300 _aXIV, 345 p. 124 illus., 63 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aAbout this book -- Graph Theory and Small-World Networks -- Chaos, Bifurcations and Diffusion -- Random Boolean Networks -- Cellular Automata and Self-Organized Criticality -- Statistical Modeling of Darwinian Evolution -- Synchronization Phenomena -- Elements of Cognitive System Theory -- Solutions -- Index.
520 _aComplex system theory is rapidly developing and gaining importance, providing tools and concepts central to our modern understanding of emergent phenomena. This primer offers an introduction to this area together with detailed coverage of the mathematics involved. All calculations are presented step by step and are straightforward to follow. This new third edition comes with new material, figures and exercises. Network theory, dynamical systems and information theory, the core of modern complex system sciences, are developed in the first three chapters, covering basic concepts and phenomena like small-world networks, bifurcation theory and information entropy. Further chapters use a modular approach to address the most important concepts in complex system sciences, with the emergence and self-organization playing a central role. Prominent examples are self-organized criticality in adaptive systems, life at the edge of chaos, hypercycles and coevolutionary avalanches, synchronization phenomena, absorbing phase transitions and the cognitive system approach to the brain. Technical course prerequisites are the standard mathematical tools for an advanced undergraduate course in the natural sciences or engineering. Each chapter comes with exercises and suggestions for further reading - solutions to the exercises are provided in the last chapter. From the reviews of previous editions: This is a very interesting introductory book written for a broad audience of graduate students in natural sciences and engineering. It can be equally well used both for teaching and self-education. Very well structured and every topic is illustrated by simple and motivating examples. This is a true guidebook to the world of complex nonlinear phenomena. (Ilya Pavlyukevich, Zentralblatt MATH, Vol. 1146, 2008) "Claudius Gros's Complex and Adaptive Dynamical Systems: A Primer is a welcome addition to the literature. . A particular strength of the book is its emphasis on analytical techniques for studying complex systems. (David P. Feldman, Physics Today, July, 2009)
650 0 _aPhysics.
650 0 _aEngineering.
650 1 4 _aPhysics.
650 2 4 _aComplex Networks.
650 2 4 _aComplexity.
650 2 4 _aSocio- and Econophysics, Population and Evolutionary Models.
650 2 4 _aComplex Systems.
650 2 4 _aNonlinear Dynamics.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642365850
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-36586-7
912 _aZDB-2-PHA
999 _c97908
_d97908