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Volumn 71, Issue 1-2, 1994, Pages 102-121

KAM tori are very sticky: rigorous lower bounds on the time to move away from an invariant Lagrangian torus with linear flow

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EID: 0000677073     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/0167-2789(94)90184-8     Document Type: Article
Times cited : (65)

References (32)
  • 7
    • 0012097571 scopus 로고
    • A universal instability of many-dimensional oscillator systems
    • (1979) Phys. Rep. , vol.52 , pp. 265
    • Chirikov1
  • 9
    • 0009101129 scopus 로고
    • Rigorous results on the power expansions for the integrals of a Hamiltonian system near an elliptic equilibrium point
    • (1988) Ann. Inst. Henri Poincaré , vol.48 A , pp. 423-439
    • Giorgilli1
  • 11
    • 0001859493 scopus 로고
    • Rigorous estimates for the series expansions of Hamiltonian perturbation theory
    • (1985) Cel. Mech. , vol.37 , pp. 95-112
    • Giorgilli1    Galgani2
  • 12
    • 0000628533 scopus 로고
    • Theory of general perturbations with unspecified variables
    • (1966) Astron. Soc. Japan , vol.18 , pp. 287
    • Hori1
  • 14
    • 26544465614 scopus 로고
    • Stochastic ionization of surface-state electrons: Classical theory
    • (1984) Phys. Rev. , vol.30 A , pp. 386-397
    • Jensen1
  • 15
    • 0020814903 scopus 로고
    • Long-time correlations in the stochastic régime
    • (1983) Physica , vol.8 D , pp. 360-380
    • Karney1
  • 16
    • 84911308880 scopus 로고    scopus 로고
    • S.B. Kuksin, On the inclusion of an analytic symplectomorphism close to an integrable one into a Hamiltonian Flow, Russ. J. Math. Phys., to appear.
  • 17
    • 0000081677 scopus 로고
    • Algebraic decay and phase-space metamorphoses in microwave ionization of hydrogen Ryberg atoms
    • (1992) Phys. Rev. , vol.45 A , pp. 8284-8287
    • Lai1    Grebogi2    Blümel3    Ding4
  • 19
    • 84911292995 scopus 로고    scopus 로고
    • P. Lochak, (preprint), Canonical perturbation theory via simultaneous approximation, Russ. Math. Surv., to appear.
  • 24
    • 0000798092 scopus 로고
    • On optimal estimates for the solutions of linear partial differential equations of first order with constant coefficients on the torus
    • J. Moser, 2nd Ed., Lecture Notes in Physics, Springer, Berlin
    • (1975) Dynamical Systems: Theory & applications , vol.38
    • Rüssmann1
  • 27
    • 0011396824 scopus 로고
    • Über die Existenz einer Normalform analytischer Hamiltonsche Differentialgleichungen in der Nähe einer Gleichgewichtslösung
    • (1954) Math. Ann. , vol.128 , pp. 144-170
    • Siegel1
  • 30
    • 0000595516 scopus 로고
    • Symplectic manifolds and their Lagrangian submanifolds
    • (1971) Adv. Math. , vol.6 , pp. 329-346
    • Weinstein1
  • 32
    • 84911296752 scopus 로고
    • Nekhoroshev estimates for quasi-convex Hamiltonians
    • to appear
    • (1993) Math. Z.
    • Pöschel1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.