LEADER 01296nam--2200433---450- 001 990001676590203316 005 20051102110342.0 035 $a000167659 035 $aUSA01000167659 035 $a(ALEPH)000167659USA01 035 $a000167659 100 $a20040518d1976----km-y0itay0103----ba 101 0 $aita 102 $aIT 105 $a||||||||001yy 200 1 $aAmerica indiana$estoria e cultura$esituazione degli Indios$fa cura di Ruggiero Romano 210 $aTorino$cEinaudi$d1976 215 $aXXX, 321 p.$d21 cm 225 2 $aEinaudi paperbacks$v68 300 $aTrad. di Giuliana Einaudi e Gabriella Lapasini 410 0$12001$aEinaudi paperbacks$v68 454 1$12001 461 1$1001-------$12001 500 $aIndianska Ameryka$min italiano$955474 606 0 $aIndiani d'America 676 $a970.3 702 1$aROMANO,$bRuggiero 702 $aEINAUDI,$bGiuliana 702 $aLAPASINI,$bGabriella 801 0$aIT$bsalbc$gISBD 912 $a990001676590203316 951 $aIII.2. 960(970.3 Ind)$b69462 L.M.$c970.3 959 $aBK 969 $aUMA 979 $aSIAV7$b10$c20040518$lUSA01$h1702 979 $aCOPAT1$b90$c20051102$lUSA01$h1103 979 $aCOPAT1$b90$c20051102$lUSA01$h1103 996 $aIndianska Ameryka$955474 997 $aUNISA LEADER 03803nam 2200625 450 001 9910480509403321 005 20170822144420.0 010 $a1-4704-1005-2 035 $a(CKB)3780000000000314 035 $a(EBL)3114198 035 $a(SSID)ssj0000889234 035 $a(PQKBManifestationID)11521353 035 $a(PQKBTitleCode)TC0000889234 035 $a(PQKBWorkID)10876974 035 $a(PQKB)10117350 035 $a(MiAaPQ)EBC3114198 035 $a(PPN)195408381 035 $a(EXLCZ)993780000000000314 100 $a20150417h20122012 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aStrange attractors for periodically forced parabolic equations /$fKening Lu, Qiudong Wang, Lai-Sang Young 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2012. 210 4$dİ2012 215 $a1 online resource (85 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 224, Number 1054 300 $a"Volume 224, Number 1054 (third of 4 numbers)." 311 $a0-8218-8484-0 320 $aIncludes bibliographical references. 327 $a""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Basic Definitions and Facts""; ""2.1. Sectorial Operators""; ""2.2. Dynamical Systems Defined by Evolutionary Equations""; ""2.3. Hopf Bifurcations""; ""2.4. A Few Ideas from Dynamical Systems""; ""2.5. SRB Measures""; ""Chapter 3. Statement of Theorems""; ""3.1. Setting and Standing Hypotheses""; ""3.2. General Results for Periodically Forced Hopf Bifurcations""; ""3.3. An Application: The Brusselator""; ""3.4. Discussion of Results""; ""Chapter 4. Invariant Manifolds""; ""4.1. Standardizing the Linear Part of the Unforced Equation"" 327 $a""4.2. Invariant Manifolds""""4.3. Trapping Regions""; ""Chapter 5. Canonical Form of Equations Around the Limit Cycle""; ""5.1. Normal Form of Hopf Bifurcation""; ""5.2. Blow-ups""; ""5.3. Final Adjustments""; ""5.4. Summary of Coordinate Transformations and Relevant Domains""; ""Chapter 6. Preliminary Estimates on Solutions of the Unforced Equation""; ""6.1. a??° Estimates""; ""6.2. A?³ Bounds""; ""6.3. Approximate Form of I??_{ } for Large ""; ""Chapter 7. Time- Map of Forced Equation and Derived 2-D System""; ""7.1. Approximate Form of Kick Map"" 327 $a""7.2. The Map _{ } and a Derived 2-D System""""7.3. Proofs of Theorems 3.2 and 3.5""; ""7.4. Further Analytic Preparation for Theorem 2""; ""Chapter 8. Strange Attractors with SRB Measures""; ""8.1. Review of Results from [WY1] and [WY4]""; ""8.2. Proof of Theorem 3.4""; ""Chapter 9. Application: The Brusselator""; ""9.1. The Dirichlet Case""; ""9.2. The Neumann Case""; ""Appendix A. Proofs of Propositions 3.1-3.3""; ""Appendix B. Proof of Proposition 7.5""; ""B.1. Extending the Domains of and ""; ""B.2. 2-D Invariant Manifold""; ""B.3. Proof of Proposition B.5"" 327 $a""Appendix C. Proofs of Proposition 8.1 and Lemma 8.2""""Bibliography"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 224, Number 1054. 606 $aAttractors (Mathematics) 606 $aDifferential equations, Parabolic 606 $aPeriodic functions 608 $aElectronic books. 615 0$aAttractors (Mathematics) 615 0$aDifferential equations, Parabolic. 615 0$aPeriodic functions. 676 $a515/.3534 700 $aLu$b Kening$f1962-$0899496 702 $aWang$b Qiudong$f1962- 702 $aYoung$b L.-S$g(Lai-Sang), 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480509403321 996 $aStrange attractors for periodically forced parabolic equations$92009840 997 $aUNINA