LEADER 03000nam 2200577 450 001 9910480521303321 005 20170822144517.0 010 $a1-4704-0320-X 035 $a(CKB)3360000000464911 035 $a(EBL)3114437 035 $a(SSID)ssj0000973591 035 $a(PQKBManifestationID)11555963 035 $a(PQKBTitleCode)TC0000973591 035 $a(PQKBWorkID)10984301 035 $a(PQKB)10203866 035 $a(MiAaPQ)EBC3114437 035 $a(PPN)195416139 035 $a(EXLCZ)993360000000464911 100 $a20010427h20012001 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 12$aA geometric setting for Hamiltonian perturbation theory /$fAnthony D. Blaom 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2001] 210 4$dİ2001 215 $a1 online resource (137 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 727 300 $a"September 2001, volume 153, number 727 (third of 5 numbers)." 311 $a0-8218-2720-0 320 $aIncludes bibliographical references. 327 $a""Contents""; ""Abstract""; ""Notation""; ""Overture""; ""Introduction""; ""Part 1. Dynamics""; ""Chapter 1. Lie-Theoretic Preliminaries""; ""Chapter 2. Action-Group Coordinates""; ""Chapter 3. On the Existence of Action-Group Coordinates""; ""Chapter 4. Naive Averaging""; ""Chapter 5. An Abstract Formulation of Nekhoroshev's Theorem""; ""Chapter 6. Applying the Abstract Nekhoroshev Theorem to Action-Group Coordinates""; ""Chapter 7. Nekhoroshev-Type Estimates for Momentum Maps""; ""Part 2. Geometry""; ""Chapter 8. On Hamiltonian G-Spaces with Regular Momenta"" 327 $a""Chapter 9. Action-Group Coordinates as a Symplectic Cross-Section""""Chapter 10. Constructing Action-Group Coordinates""; ""Chapter 11. The Axisymmetric Euler-Poinsot Rigid Body""; ""Chapter 12. Passing from Dynamic Integrability to Geometric Integrability""; ""Chapter 13. Concluding Remarks""; ""Appendix A. Proof of the Nekhoroshev-Lochak Theorem""; ""Appendix B. Proof that W is a Slice""; ""Appendix C. Proof of the Extension Lemma""; ""Appendix D. An Application of Converting Dynamic Integrabilityinto Geometric Integrability: The Euler-Poinsot Rigid Body Revisited"" 327 $a""Appendix E. Dual Pairs, Leaf Correspondence, and Symplectic Reduction""""Bibliography"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 727. 606 $aPerturbation (Mathematics) 606 $aHamiltonian systems 608 $aElectronic books. 615 0$aPerturbation (Mathematics) 615 0$aHamiltonian systems. 676 $a510 s 676 $a515/.35 700 $aBlaom$b Anthony D.$f1968-$066143 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480521303321 996 $aGeometric setting for Hamiltonian perturbation theory$9377886 997 $aUNINA