Opening a closed hamiltonian map

Chaos

Volumn 13, Issue 1, 2003, Pages 17-24

  Sanjuán, Miguel A F ^a   Horita, Takehiko ^b   Aihara, Kazuyuki ^b,c  

^a UNIVERSIDAD REY JUAN CARLOS   (Spain)

^b UNIVERSITY OF TOKYO   (Japan)

^c JAPAN SCIENCE AND TECHNOLOGY AGENCY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037356745     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1528750     Document Type: Article

References (18)

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2. See, e.g., P. Gaspard, Chaos, Scattering and Statistical Mechanics (Cambridge University Press, Cambridge, 1998).
3. See, e.g., papers in Chaos 8(2) (1998).
4. B. V. Chirikov, Phys. Rep. 52, 263 (1979).
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6. J. Aguirre and M. A. F. Sanjuán, preprint, 2002.
7. I. C. Percival, AIP Conf. Proc. 57, 302 (1979).
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9. C. Grebogi, S. W. McDonald, E. Ott, and J. A. Yorke, Phys. Lett. A 99, 415 (1983); S. W. McDonald, C. Grebogi, E. Ott, and J. A. Yorke, Physica D 17, 125 (1985).
10. Due to the existence of homoclinic intersections, the points of the backward images of an open ball across a segment of the unstable manifold, which remain in the interior of the phase space except the exits, might converge to the stable manifold with backward iteration.
11. J. M. Greene, J. Math. Phys. 20, 1183 (1979).
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13. C. F. F. Karney, Physica D 8, 360 (1983).
14. Nonhyperbolic chaotic scattering is investigated in Y. T. Lau, J. M. Finn, and E. Ott, Phys. Rev. Lett. 66, 978 (1991). They conclude that the time delay function is characterized by the uncertainty dimension d=1 that corresponds to d=2 in our case.
15. J. Kennedy and J. A. Yorke, Physica D 51, 213 (1991).
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18. J. C. Alexander, J. A. Yorke, Z. You, and I. Kan, Int. J. Bifurcation Chaos Appl. Sci. Eng. 2, 795 (1992).