LEADER 04232nam 2200649Ia 450 001 9910450427103321 005 20200520144314.0 010 $a1-281-88087-6 010 $a9786611880873 010 $a981-256-784-4 035 $a(CKB)1000000000247204 035 $a(EBL)244531 035 $a(OCoLC)475965406 035 $a(SSID)ssj0000142024 035 $a(PQKBManifestationID)11147377 035 $a(PQKBTitleCode)TC0000142024 035 $a(PQKBWorkID)10091507 035 $a(PQKB)11453504 035 $a(MiAaPQ)EBC244531 035 $a(WSP)00005613 035 $a(Au-PeEL)EBL244531 035 $a(CaPaEBR)ebr10106567 035 $a(CaONFJC)MIL188087 035 $a(EXLCZ)991000000000247204 100 $a20050220d2004 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aDynamics and bifurcation of patterns in dissipative systems$b[electronic resource] /$fedited by Gerhard Dangelmayr, Iuliana Oprea 210 $aNew Jersey $aLondon $cWorld Scientific$dc2004 215 $a1 online resource (405 p.) 225 1 $aWorld Scientific series on nonlinear science. Series B, Special theme issues and proceedings ;$vv. 12 300 $aThis book emerged from a conference of the same name organized by the editors in May 2003 at Colorado State University. 311 $a981-238-946-6 320 $aIncludes bibliographical references and index. 327 $aPREFACE; CONTENTS; CHAPTER 1 SYMMETRY AND PATTERN FORMATION ON THE VISUAL CORTEX; CHAPTER 2 MATRIX FREE APPROACH IN THE NUMERICAL ANALYSIS OF BIFURCATIONS AND INSTABILITIES; CHAPTER 3 VALIDITY OF THE GINZBURG-LANDAU APPROXIMATION IN PATTERN FORMING SYSTEMS WITH TIME PERIODIC FORCING; CHAPTER 4 STABILITY AND BIFURCATION FROM RELATIVE EQUILIBRIA AND RELATIVE PERIODIC ORBITS; CHAPTER 5 ROTATING MAGNETOCONVECTION WITH MAGNETOSTROPHIC BALANCE; CHAPTER 6 PATTERN FORMATION ON A SPHERE; CHAPTER 7 CONVERGENCE PROPERTIES OF FOURIER MODE REPRESENTATIONS OF QUASIPATTERNS 327 $aCHAPTER 8 PHASE DIFFUSION AND WEAK TURBULENCECHAPTER 9 PATTERN FORMATION AND PARAMETRIC RESONANCE; CHAPTER 10 MEAN FLOW EFFECTS IN MODEL EQUATIONS FOR FARADAY WAVES; CHAPTER 11 ROGUE WAVES AND THE BENJAMIN-FEIR INSTABILITY; CHAPTER 12 HETEROGENEOUS PACEMAKERS IN OSCILLATORY MEDIA; CHAPTER 13 A FINITE-DIMENSIONAL MECHANISM RESPONSIBLE FOR BURSTS IN FLUID MECHANICS; CHAPTER 14 BIOLOGICAL LATTICE GAS MODELS; CHAPTER 15 A COMPARISON OF OPTIMAL LOW DIMENSIONAL PROJECTIONS OF A HURRICANE SIMULATION 327 $aCHAPTER 16 LINEAR AND NONLINEAR NUSSELT NUMBER MEASUREMENTS DURING ELECTROCONVECTION OF A LIQUID CRYSTALCHAPTER 17 CHARACTERIZATIONS OF FAR FROM EQUILIBRIUM STRUCTURES USING THEIR CONTOURS; CHAPTER 18 DYNAMICS NEAR ROBUST HETEROCLINIC CYCLES; CHAPTER 19 INTERNAL DYNAMICS OF INTERMITTENCY; CHAPTER 20 EXPERIMENTS WITH DICTYOSTELIUM DISCOIDEUM AMOEBAE IN DIFFERENT GEOMETRIES; INDEX 330 $aUnderstanding the spontaneous formation and dynamics of spatiotemporal patterns in dissipative nonequilibrium systems is one of the major challenges in nonlinear science. This collection of expository papers and advanced research articles, written by leading experts, provides an overview of the state of the art. The topics include new approaches to the mathematical characterization of spatiotemporal complexity, with special emphasis on the role of symmetry, as well as analysis and experiments of patterns in a remarkable variety of applied fields such as magnetoconvection, liquid crystals, gran 410 0$aWorld Scientific series on nonlinear science.$nSeries B,$pSpecial theme issues and proceedings ;$vv. 12. 606 $aPattern formation (Physical sciences) 606 $aBifurcation theory 608 $aElectronic books. 615 0$aPattern formation (Physical sciences) 615 0$aBifurcation theory. 676 $a530.4 701 $aDangelmayr$b G$g(Gerhard),$f1951-$055413 701 $aOprea$b Iuliana$0987391 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910450427103321 996 $aDynamics and bifurcation of patterns in dissipative systems$92256733 997 $aUNINA