LEADER 04028nam 2200625 450 001 9910480091103321 005 20180731045131.0 010 $a1-4704-0445-1 035 $a(CKB)3360000000465028 035 $a(EBL)3114236 035 $a(SSID)ssj0000973589 035 $a(PQKBManifestationID)11537983 035 $a(PQKBTitleCode)TC0000973589 035 $a(PQKBWorkID)10958553 035 $a(PQKB)10442231 035 $a(MiAaPQ)EBC3114236 035 $a(PPN)195417321 035 $a(EXLCZ)993360000000465028 100 $a20050920d2006 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 12$aA geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem $eheuristics and rigorous verification on a model /$fAmadeu Delshams, Rafael de la Llave, Tere M. Seara 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2006. 215 $a1 online resource (158 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 844 300 $a"January 2006, volume 179, number 844 (third of 5 numbers)." 311 $a0-8218-3824-5 320 $aIncludes bibliographical references (pages 137-141). 327 $a""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Heuristic discussion of the mechanism""; ""2.1. Integrable systems, resonances, secondary tori""; ""2.2. Heuristic description of the mechanism""; ""Chapter 3. A simple model""; ""Chapter 4. Statement of rigorous results""; ""Chapter 5. Notation and definitions, resonances""; ""Chapter 6. Geometric features of the unperturbed problem""; ""Chapter 7. Persistence of the normally hyperbolic invariant manifold and its stable and unstable manifolds""; ""7.1. Explicit calculations of the perturbed invariant manifold"" 327 $a""8.5.2. Preliminary analysis of resonances of order one or two""""8.5.3. Primary and secondary tori near the first and second order resonances""; ""8.5.4. Proof of Theorem 8.30 and Corollary 8.31""; ""8.5.5. Existence of stable and unstable manifolds of periodic orbits""; ""Chapter 9. The scattering map""; ""9.1. Some generalities about the scattering map""; ""9.2. The scattering map in our model: definition and computation""; ""Chapter 10. Existence of transition chains""; ""10.1. Transition chains""; ""10.2. The scattering map and the transversality of heteroclinic intersections"" 327 $a""10.2.1. The non-resonant region and resonances of order 3 and higher""""10.2.2. Resonances of first order""; ""10.2.3. Resonances of order 2""; ""10.3. Existence of transition chains to objects of different topological types""; ""Chapter 11. Orbits shadowing the transition chains and proof of theorem 4.1""; ""Chapter 12. Conclusions and remarks""; ""12.1. The role of secondary tori and the speed of diffusion""; ""12.2. Comparison with [DLS00]""; ""12.3. Heuristics on the genericity properties of the hypothesis and the phenomena""; ""12.4. The hypothesis of polynomial perturbations"" 327 $a""12.5. Involving other objects""""12.6. Variational methods""; ""12.7. Diffusion times""; ""Chapter 13. An example""; ""Acknowledgments""; ""Bibliography"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 844. 606 $aNonholonomic dynamical systems 606 $aMechanics 606 $aDifferential equations$xQualitative theory 608 $aElectronic books. 615 0$aNonholonomic dynamical systems. 615 0$aMechanics. 615 0$aDifferential equations$xQualitative theory. 676 $a510 s 676 $a515/.39 700 $aDelshams$b Amadeu$0919072 702 $aDe la Llave$b Rafael$f1957- 702 $aSeara$b Tere M.$f1961- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480091103321 996 $aA geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem$92061316 997 $aUNINA LEADER 01893nam0 22004093i 450 001 LO10424430 005 20231121125519.0 100 $a20010508d1946 ||||0itac50 ba 101 | $aita 102 $ait 181 1$6z01$ai $bxxxe 182 1$6z01$an 200 1 $a˜L'œArcadia$fGiulio Natali 210 $a[Roma]$cIstituto di studi romani$d1946 215 $a27 p., [4] p. di tav.$cill.$d25 cm 225 | $aQuaderni di studi romani. Gli istituti culturali e artistici romani 225 | $aIstituti culturali e artistici romani$v3 410 0$1001CUB0306098$12001 $aQuaderni di studi romani. Gli istituti culturali e artistici romani 410 0$1001LO10424436$12001 $aIstituti culturali e artistici romani$v3 606 $aRoma$xAccademie di belle arti$xArcadia$2FIR$3RMLC422715$9I 606 $aArcadia $2FIR$3RMLC126515$9I 676 $a060.4563$9$v21 700 1$aNatali$b, Giulio$f <1875-1965>$3RAVV043349$4070$0319883 801 3$aIT$bIT-01$c20010508 850 $aIT-RM0289 $aIT-RM0290 $aIT-RM0459 $aIT-RM0285 $aIT-RM0211 $aIT-RM0251 $aIT-FR0017 899 $aBiblioteca Statale A. Baldini$bRM0289 899 $aBIBLIOTECA ANGELICA$bRM0290 899 $aARCHIVIO DI STATO DI ROMA$bRM0459 899 $aBiblioteca Dell'Istituto Nazionale Di Studi Romani$bRM0285 899 $aFondazione Marco Besso$bRM0211 899 $aBiblioteca Della Soprintendenza Archivistica Per Il Lazio$bRM0251 899 $aBiblioteca umanistica Giorgio Aprea$bFR0017 $eN 912 $aLO10424430 950 0$aBiblioteca umanistica Giorgio Aprea$d 52DSR A 13$e 52FLS0000384835 VMB RS $fA $h20141017$i20141017 977 $a 04$a 06$a 12$a 13$a 14$a 24$a 52 996 $aArcadia$93608307 997 $aUNICAS