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Unbounded Energy Growth in Hamiltonian Systems with a Slowly Varying Parameter

  • Published:2008-06-05 Issue:3 Volume:283 Page:769-794
  • ISSN:0010-3616
  • Container-title:Communications in Mathematical Physics
  • language:en
  • Short-container-title:Commun. Math. Phys.

Author:

Gelfreich Vassili,Turaev Dmitry

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference26 articles.

1. Afraimovich V.S., Shilnikov L.P.: On critical sets of Morse-Smale systems. Trans. Moscow Math. Soc. 28, 179–212 (1973)

2. Anosov, D.V.: Geodesic flows on closed Riemanian manifolds of negative curvature. Proc. Steklov Math. Inst. 90 (1967)

3. Arnold V.I.: Mathematical methods of classical mechanics. Springer-Verlag, New York (1989)

4. Bolotin S., Treschev D.: Unbounded growth of energy in nonautonomous Hamiltonian systems. Nonlinearity 12, 365–388 (1999)

5. Bunimovich L.A., Sinai Ya.G., Chernov N.I.: Markov partitions for two-dimensional hyperbolic billiards. Russ. Math. Surv. 45, 105–152 (1990)

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