Measuring the transition between nonhyperbolic and hyperbolic regimes in open Hamiltonian systems

  title={Measuring the transition between nonhyperbolic and hyperbolic regimes in open Hamiltonian systems},
  author={Alexandre R. Nieto and Euaggelos E. Zotos and Jes{\'u}s M. Seoane and Miguel A. F. Sanju'an},
  journal={Nonlinear Dynamics},
We show that the presence of KAM islands in nonhyperbolic chaotic scattering has deep implications on the unpredictability of open Hamiltonian systems. When the energy of the system increases, the particles escape faster. For this reason, the boundary of the exit basins becomes thinner and less fractal. Hence, we could expect a monotonous decrease in the unpredictability as well as in the fractal dimension. However, within the nonhyperbolic regime, fluctuations in the basin entropy have been… 
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  • J. Aguirre, M. Sanjuán
  • Mathematics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2003
It is claimed that in the limit of small exits, the invariant sets tend to fill up the whole phase space with the strong consequence that a new kind of basin appears, where the unpredictability grows indefinitely.
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