Weighted Bihkhoff average and quasiperiodicity

2016-3-22 15:00 - 17:00
Faculty of Science Building #4, Room 4-401
Yoshitaka Saiki (Graduate School of Commerce and Management, Hitotsubashi University)
Abstract: It is found that by introducing a smooth weight function
into the Birkhoff sum that the Birkhoff average about a quantity along
a quasiperiodic orbit converges quite fast. It can be applied to
distinguish chaos from quasiperiodicity, calculate a rotation number
in high accuracy and identify regularity of a quasiperiodic orbit.
This is the joint work with S. Das, E. Sander and J. A. Yorke.