LEADER 02718nam 2200589 450 001 9910788850103321 005 20170816143302.0 010 $a1-4704-0384-6 035 $a(CKB)3360000000464970 035 $a(EBL)3114501 035 $a(SSID)ssj0000973840 035 $a(PQKBManifestationID)11594954 035 $a(PQKBTitleCode)TC0000973840 035 $a(PQKBWorkID)10984327 035 $a(PQKB)11383051 035 $a(MiAaPQ)EBC3114501 035 $a(RPAM)13180594 035 $a(PPN)195416724 035 $a(EXLCZ)993360000000464970 100 $a20030430h20032003 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aRadially symmetric patterns of reaction-diffusion systems /$fArnd Scheel 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2003] 210 4$dİ2003 215 $a1 online resource (102 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 786 300 $a"Volume 165, number 786 (third of 4 numbers)." 311 $a0-8218-3373-1 320 $aIncludes bibliographical references (pages 83-86). 327 $a""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Instabilities in one space dimension""; ""1. Introduction""; ""2. Classifying instabilities of reaction-diffusion systems""; ""3. Stationary bifurcations and spatial dynamics""; ""4. Oscillatory bifurcations and spatial dynamics""; ""Chapter 3. Stationary radially symmetric patterns""; ""1. Classification and radial dynamics""; ""2. Center manifolds""; ""3. Expansions and normal forms""; ""4. Matching and transversality""; ""Chapter 4. Time-periodic radially symmetric patterns""; ""1. Radial dynamics on time-periodic functions"" 327 $a""2. Center manifolds""""3. The reduced vector field for a Hopf instability""; ""4. Heteroclinics in the reduced equation""; ""5. Persistence""; ""Chapter 5. Discussion""; ""1. Stability""; ""2. Beyond radial symmetry""; ""3. Boundaries and holes""; ""4. Concluding remarks""; ""Bibliography"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 786. 606 $aReaction-diffusion equations 606 $aBifurcation theory 606 $aNormal forms (Mathematics) 615 0$aReaction-diffusion equations. 615 0$aBifurcation theory. 615 0$aNormal forms (Mathematics) 676 $a510 s 676 $a515/.353 700 $aScheel$b Arnd$f1966-$01565959 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910788850103321 996 $aRadially symmetric patterns of reaction-diffusion systems$93836115 997 $aUNINA