Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2006-11-07
Phys. Rev. E 74, 056207 (2006)
Nonlinear Sciences
Chaotic Dynamics
Submitted to Phys. Rev. E without the appendix
Scientific paper
10.1103/PhysRevE.74.056207
Mushroom billiards have the remarkable property to show one or more clear cut integrable islands in one or several chaotic seas, without any fractal boundaries. The islands correspond to orbits confined to the hats of the mushrooms, which they share with the chaotic orbits. It is thus interesting to ask how long a chaotic orbit will remain in the hat before returning to the stem. This question is equivalent to the inquiry about delay times for scattering from the hat of the mushroom into an opening where the stem should be. For fixed angular momentum we find that no more than three different delay times are possible. This induces striking nonperiodic structures in the delay times that may be of importance for mesoscopic devices and should be accessible to microwave experiments.
Dietz Barbara
Friedrich Thomas
Miski-Oglu M.
Richter Achim
Seligman Thomas H.
No associations
LandOfFree
Nonperiodic echoes from mushroom billiard hats does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Nonperiodic echoes from mushroom billiard hats, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonperiodic echoes from mushroom billiard hats will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-617916