LEADER 03776nam 22006975 450 001 996466791603316 005 20200704152637.0 010 $a3-540-31520-9 024 7 $a10.1007/b103930 035 $a(CKB)1000000000231918 035 $a(DE-He213)978-3-540-31520-9 035 $a(SSID)ssj0000317308 035 $a(PQKBManifestationID)11247724 035 $a(PQKBTitleCode)TC0000317308 035 $a(PQKBWorkID)10293403 035 $a(PQKB)10340824 035 $a(MiAaPQ)EBC4975562 035 $a(Au-PeEL)EBL4975562 035 $a(CaONFJC)MIL140182 035 $a(OCoLC)1024286357 035 $a(PPN)123091039 035 $a(EXLCZ)991000000000231918 100 $a20100806d2005 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aDynamics of Coupled Map Lattices and of Related Spatially Extended Systems$b[electronic resource] /$fedited by Jean-René Chazottes, Bastien Fernandez 205 $a1st ed. 2005. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2005. 215 $a1 online resource (XII, 362 p.) 225 1 $aLecture Notes in Physics,$x0075-8450 ;$v671 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-24289-9 327 $aClustering in Globally Coupled Maps -- Snychronisation in CML -- Dynamics of Frenkel-Kontorova Chains -- Attractors and Bifurcations in CML -- Dynamics of Genetic Regulation Networks -- Phase Transitions in CML -- Introduction to CML -- Topological Properties of Chaotic CML -- TBA -- Monotonic Dynamics of Extended Systems -- Neural Networks: Integro-Differential Models -- Equilibrium States for CML -- Transfer Operators in CML. 330 $aThis book is about the dynamics of coupled map lattices (CML) and of related spatially extended systems. It will be useful to post-graduate students and researchers seeking an overview of the state-of-the-art and of open problems in this area of nonlinear dynamics. The special feature of this book is that it describes the (mathematical) theory of CML and some related systems and their phenomenology, with some examples of CML modeling of concrete systems (from physics and biology). More precisely, the book deals with statistical properties of (weakly) coupled chaotic maps, geometric aspects of (chaotic) CML, monotonic spatially extended systems, and dynamical models of specific biological systems. 410 0$aLecture Notes in Physics,$x0075-8450 ;$v671 606 $aMathematical physics 606 $aStatistical physics 606 $aDynamical systems 606 $aTheoretical, Mathematical and Computational Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19005 606 $aComplex Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P33000 606 $aStatistical Physics and Dynamical Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P19090 615 0$aMathematical physics. 615 0$aStatistical physics. 615 0$aDynamical systems. 615 14$aTheoretical, Mathematical and Computational Physics. 615 24$aComplex Systems. 615 24$aStatistical Physics and Dynamical Systems. 676 $a530.1 702 $aChazottes$b Jean-René$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aFernandez$b Bastien$4edt$4http://id.loc.gov/vocabulary/relators/edt 712 12$aCML2004 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466791603316 996 $aDynamics of coupled map lattices and of related spatially extended systems$9735061 997 $aUNISA