LEADER 04464nam 2200613Ia 450 001 9910462977103321 005 20200520144314.0 010 $a1-908977-10-8 035 $a(CKB)2670000000360001 035 $a(EBL)1193530 035 $a(OCoLC)844311083 035 $a(SSID)ssj0000981126 035 $a(PQKBManifestationID)12398263 035 $a(PQKBTitleCode)TC0000981126 035 $a(PQKBWorkID)10968986 035 $a(PQKB)11217403 035 $a(MiAaPQ)EBC1193530 035 $a(WSP)00003005 035 $a(Au-PeEL)EBL1193530 035 $a(CaPaEBR)ebr10700570 035 $a(CaONFJC)MIL486889 035 $a(EXLCZ)992670000000360001 100 $a19950605d2013 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aLocal activity principle$b[electronic resource] /$fKlaus Mainzer and Leon Chua 210 $aLondon $cImperial College Press$dc2013 215 $a1 online resource (456 p.) 300 $aDescription based upon print version of record. 311 $a1-908977-09-4 320 $aIncludes bibliographical references and index. 327 $aContents; Preface; 1. The Local Activity Principle and the Emergence of Complexity; 1.1 Mathematical Definition of Local Activity; 1.2 The Local Activity Theorem; 1.3 Local Activity is the Origin of Complexity; 2. Local Activity and Edge of Chaos in Computer Visualization; 2.1 Local Activity and Edge of Chaos of the Brusselator Equations; 2.2 Local Activity and Edge of Chaos of the Gierer-Meinhardt Equations; 2.3 Local Activity and Edge of Chaos of the FitzHugh-Nagumo Equations; 2.4 Local Activity and Edge of Chaos of the Hodgkin-Huxley Equations 327 $a2.5 Local Activity and Edge of Chaos of the Oregonator Equations3. The Local Activity Principle and the Expansion of the Universe; 3.1 Mathematical Definition of Symmetry; 3.2 Symmetries in the Quantum World; 3.3 Global and Local Symmetries; 3.4 Local Gauge Symmetries and Symmetry Breaking; 4. The Local Activity Principle and the Dynamics of Matter; 4.1 The Local Activity Principle of Pattern Formation; 4.2 The Local Activity Principle and Prigogine's Dissipative Structures; 4.3 The Local Activity Principle and Haken's Synergetics; 5. The Local Activity Principle and the Evolution of Life 327 $a5.1 The Local Activity Principle of Turing's Morphogenesis5.2 The Local Activity Principle in Systems Biology; 5.3 The Local Activity Principle in Brain Research; 6. The Local Activity Principle and the Co-evolution of Technology; 6.1 The Local Activity Principle of Cellular Automata; 6.2 The Local Activity Principle of Neural Networks; 6.3 The Local Activity Principle of Memristors; 6.4 The Local Activity Principle of Global Information Networks; 7. The Local Activity Principle and Innovation in the Economy and Society; 7.1 The Local Activity Principle in Sociodynamics 327 $a7.2 The Local Activity Principle and Emerging Risks7.3 The Local Activity Principle in Financial Dynamics; 7.4 The Local Activity Principle in Innovation Dynamics; 7.5 The Local Activity Principle of Sustainable Entrepreneurship; 8. The Message of the Local Activity Principle; 8.1 The Local Activity Principle in Culture and Philosophy; 8.2 What can we Learn from the Local Activity Principle in the Age of Globalization?; References; Author Index; Subject Index 330 $aThe principle of local activity explains the emergence of complex patterns in a homogeneous medium. At first defined in the theory of nonlinear electronic circuits in a mathematically rigorous way, it can be generalized and proven at least for the class of nonlinear reaction-diffusion systems in physics, chemistry, biology, and brain research. Recently, it was realized by memristors for nanoelectronic device applications. In general, the emergence of complex patterns and structures is explained by symmetry breaking in homogeneous media, which is caused by local activity. This book argues that 606 $aMathematical physics 606 $aPhysics 608 $aElectronic books. 615 0$aMathematical physics. 615 0$aPhysics. 676 $a515.9 700 $aMainzer$b Klaus$045836 701 $aChua$b Leon O.$f1936-$0459925 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910462977103321 996 $aLocal activity principle$92253857 997 $aUNINA