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 LEADER 03240nam 22006013u 450 001 9910708378903321 005 20170821160846.0 010 $a1-909940-26-7 035 $a(CKB)2670000000519214 035 $a(EBL)1623110 035 $a(SSID)ssj0001113227 035 $a(PQKBManifestationID)12487666 035 $a(PQKBTitleCode)TC0001113227 035 $a(PQKBWorkID)11167005 035 $a(PQKB)11757997 035 $a(OCoLC)827195256 035 $a(EXLCZ)992670000000519214 100 $a20140217d2013|||| u|| | 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 14$aThe Siegfried Line Campaign$b[electronic resource] 205 $a50th anniversary commemorative edition. 210 $aGreenock $c232 Celsius$d2013 210 1$aWashington, D.C. :$cCenter of Military History, United States Army,$d1993. 215 $a1 online resource (1166 p.) 225 0 $aUnited States Army in World War II. The European theater of operations The Siegfried Line Campaign 300 $aDescription based upon print version of record. 311 $a0-7948-3769-7 320 $aIncludes bibliographical references (pages 629-632) and index. 327 $aPART ONE BREACHING THE SIEGFRIED LINE; Chapter I The Road to Germany; Chapter II The First U.S. Army; Chapter III V Corps Hits the West Wall; Chapter IV VII Corps Penetrates the Line; Chapter V Action on the North Wing; PART TWO AN AIRBORNE CARPET IN THE NORTH; Chapter VI Operation MARKET-GARDEN; Chapter VII Invasion From the Sky; Chapter VIII Decision on the Ground; Chapter IX The Approaches to Antwerp; Chapter X The Peel Marshes; PART THREE THE BATTLE OF AACHEN; Chapter XI A Set Attack Against the West Wall; Chapter XII Closing the Circle; Chapter XIII Assault on the City 327 $aPART FOUR The Roer River DamsChapter XIV The First Attack on Schmidt; Chapter XV The Second Attack on Schmidt; PART FIVE THE HUERTGEN FOREST; Chapter XVI The Big Picture in October; CHAPTER XVII New Plans To Drive to the Rhine; Chapter XVIII VII Corps Makes the Main Effort; Chapter XIX V Corps Joins the Offensive; Chapter XX The Final Fight To Break Out of the Forest; PART SIX BATTLE OF THE ROER PLAIN; Chapter XXI Clearing the Inner Wings of the Armies; Chapter XXII The Roer River Offensive; Chapter XXIII The Geilenkirchen Salient; Chapter XXIV Ninth Army's Final Push to the Roer 327 $aPART SEVEN CONCLUSIONChapter XXV The Approaches to Dueren; Chapter XXVI Objective: the Roer River Dams; Chapter XXVII The End of the Campaign 330 $a The US Armies Siegfried Line campaign in World War 2 606 $aWorld War, 1939-1945$xCampaigns$zGermany 606 $aHistory & Archaeology$2HILCC 606 $aHistory - General$2HILCC 607 $aGermany$2fast 615 0$aWorld War, 1939-1945$xCampaigns 615 7$aHistory & Archaeology 615 7$aHistory - General 676 $a940.54/213 700 $aMacDonald$b Charles$01281688 712 02$aCenter of Military History 801 0$bAU-PeEL 801 1$bAU-PeEL 801 2$bAU-PeEL 906 $aBOOK 912 $a9910708378903321 996 $aThe Siegfried Line Campaign$93335797 997 $aUNINA