LEADER 03700nam 2200601 450 001 9910480523103321 005 20170816143306.0 010 $a1-4704-0373-0 035 $a(CKB)3360000000464959 035 $a(EBL)3114426 035 $a(SSID)ssj0000889125 035 $a(PQKBManifestationID)11523070 035 $a(PQKBTitleCode)TC0000889125 035 $a(PQKBWorkID)10875171 035 $a(PQKB)10828108 035 $a(MiAaPQ)EBC3114426 035 $a(PPN)195416619 035 $a(EXLCZ)993360000000464959 100 $a20030108d2003 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aOn the splitting of invariant manifolds in multidimensional near-integrable Hamiltonian systems /$fP. Lochak, J.-P. Marco, D. Sauzin 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2003. 215 $a1 online resource (162 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 775 300 $a"Volume 163, number 775 (second of 5 numbers)." 311 $a0-8218-3268-9 320 $aIncludes bibliographical references. 327 $a""Contents""; ""Chapter 0. Introduction and Some Salient Features of the Model Hamiltonian""; ""Chapter 1. Symplectic Geometry and the Splitting of Invariant Manifolds""; ""A? 1.1. Symplectic geometry: a short reminder""; ""A? 1.2. Hyperbolic invariant manifolds""; ""A? 1.3. Angles of Lagrangian planes: the symplectic viewpoint""; ""A? 1.4. Angles of Lagrangian planes: the Euclidean viewpoint""; ""A? 1.5. Symplectic isomorphisms, angles and splitting forms""; ""A? 1.6. The splitting of Lagrangian submanifolds""; ""A? 1.7. Lagrangian submanifolds in a cotangent bundle"" 327 $a""A? 1.8. Hyperbolic tori and normally hyperbolic invariant manifolds""""A? 1.9. The perturbative setting""; ""A? 1.10. Lagrangian intersections and homoclinic trajectories""; ""A? 1.11. The splitting of the invariant manifolds of hyperbolic tori""; ""Chapter 2. Estimating the Splitting Matrix Using Normal Forms""; ""A? 2.1. Resonant normal forms""; ""A? 2.2. Computations in the vicinity of a resonant surface""; ""A? 2.3. Splitting in a perturbative setting, variance and stability""; ""A? 2.4. General exponential estimates for the splitting matrix"" 327 $a""A? 2.5. Persistence of tori, invariant manifolds and homoclinic trajectories""""A? 2.6. Splitting and stability""; ""Chapter 3. The Hamiltona???Jacobi Method for a Simple Resonance""; ""A? 3.1. Notation and assumptions""; ""A? 3.2. Formal solutions and the Hamiltona???Jacobi algorithm""; ""A? 3.3. Convergence and domains of analyticity""; ""A? 3.4. Exponential closeness of the invariant manifolds""; ""A? 3.5. Linear versus nonlinear splitting""; ""A? 3.6. Some variants and possible generalizations""; ""A? 3.7. A short historical tour and some concluding remarks"" 327 $a""Appendix. Invariant Tori With Vanishing or Zero Torsion""""Bibliography "" 410 0$aMemoirs of the American Mathematical Society ;$vno. 775. 606 $aHamiltonian systems 606 $aInvariant manifolds 608 $aElectronic books. 615 0$aHamiltonian systems. 615 0$aInvariant manifolds. 676 $a510 s 676 $a514/.74 700 $aLochak$b P$g(Pierre),$052270 702 $aMarco$b J.-P 702 $aSauzin$b D.$f1966- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480523103321 996 $aOn the splitting of invariant manifolds in multidimensional near-integrable Hamiltonian systems$92262665 997 $aUNINA LEADER 03972nam 2200757 a 450 001 9910785955903321 005 20230801224930.0 010 $a1-283-62804-X 010 $a9786613940490 010 $a3-11-028348-4 024 7 $a10.1515/9783110283488 035 $a(CKB)2670000000263192 035 $a(EBL)893416 035 $a(OCoLC)811964428 035 $a(SSID)ssj0000722450 035 $a(PQKBManifestationID)12340827 035 $a(PQKBTitleCode)TC0000722450 035 $a(PQKBWorkID)10695386 035 $a(PQKB)10435227 035 $a(MiAaPQ)EBC893416 035 $a(DE-B1597)176050 035 $a(OCoLC)853237663 035 $a(OCoLC)961581047 035 $a(DE-B1597)9783110283488 035 $a(Au-PeEL)EBL893416 035 $a(CaPaEBR)ebr10606422 035 $a(CaONFJC)MIL394049 035 $a(EXLCZ)992670000000263192 100 $a20120416d2012 uy 0 101 0 $aeng 135 $aurnn#---|u||u 181 $ctxt 182 $cc 183 $acr 200 10$aAram and Israel during the Jehuite dynasty$b[electronic resource] /$fShuichi Hasegawa 210 $aBerlin ;$aBoston $cDe Gruyter$d2012 215 $a1 online resource (228 p.) 225 1 $aBeihefte zur Zeitschrift fu?r die alttestamentliche Wissenschaft,$x0934-2575 ;$vBd. 434 300 $aDescription based upon print version of record. 311 0 $a3-11-028335-2 320 $aIncludes bibliographical references and indexes. 327 $tFront matter --$tAcknowledgements --$tTable of Contents --$tList of Tables --$tAbbreviations --$tIntroduction --$t1. Chronology of the Jehuite Kings --$t2. The Rise of Jehu (841 BCE) --$t3. The Rise of Hazael and the Aramaean Expansion --$t4. The Reigns of Jehu and Joahaz (841-798 BCE) --$t5. The Reign of Joash (799/798-784 BCE) --$t6. The Reign of Jeroboam II (784-748 BCE) --$t7. The End of the Jehuite Dynasty (747 BCE) --$tConclusion --$tBibliography --$tMaps --$tIndices 330 $aThe Jehuite Dynasty ruled more than ninety years (841-747 BCE) in the Kingdom of Israel, the longest dynasty in the history of the Northern Kingdom. Under the five kings of the dynasty, Israel was thrown into the arena of the regional political struggles and experienced the time of an unprecedented upheaval and then enjoyed great prosperity. The Aramaeans under Hazael and Ben-Hadad of Damascus and the Assyrians from the north Mesopotamia had great influence on the history of the dynasty. This book is the result of a comprehensive and updated historical study on this significant dynasty. By consulting all the available Assyrian, Aramaic, Hebrew, and Moabite inscriptions and recent archaeological data, this study radically evaluates the historical authenticity of the biblical text of 2 Kings and some parts of the Books of Amos and Hosea and integrates the results into the historical discussion. The study reveals the great importance of this dynasty in the history of the Northern Kingdom as a turning point in its policy toward the Neo-Assyrian Empire and will contribute toward understanding the history of Syria-Palestine in the 9th-8th centuries BCE. 410 0$aBeihefte zur Zeitschrift fu?r die alttestamentliche Wissenschaft ;$v434. 606 $aJews$xHistory$yTo 586 B.C 606 $aJews$xPolitics and government$yTo 70 A.D 606 $aArameans$xHistory 607 $aSyria$xHistory$yTo 333 B.C 607 $aMiddle East$xAntiquities 610 $aAram-Damascus. 610 $aBook of Kings. 610 $aHazael. 610 $aJehu. 610 $aKingdom of Israel. 615 0$aJews$xHistory 615 0$aJews$xPolitics and government 615 0$aArameans$xHistory. 676 $a933/.4 700 $aHasegawa$b Shuichi$f1971-$01517784 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910785955903321 996 $aAram and Israel during the Jehuite dynasty$93755008 997 $aUNINA