Seminar
题目：Computational
Determination of Unstable Periodic Orbits in Dynamical Systems
报告人：Prof.
Bruce Boghosian (Department of
Mathematics,
地 点：力学所二楼会议室
时 间：12月 6 日（周四）下午13:30
Title:
Computational Determination of Unstable Periodic Orbits in Dynamical Systems
Speaker: Prof.
Bruce Boghosian
Chair, Department
of Mathematics,
Abstract: Driven
dissipative dynamical systems generically have attracting sets that are replete
with unstable periodic orbits. These orbits are very useful for
describing the system's short-time behavior, and they may also be useful for
developing statistical models of the system's long-time behavior. For
low-dimensional systems, it has long been possible to find these orbits
computationally. Petascale computers will make
feasible the computation and explortation of unstable
periodic orbits in high-dimensional systems, such as fluids and plasmas.
In this talk, we describe the HYPO4D project, a joint US/UK endeavor
which aims to use petascale computation that will
soon be available on the National Science Foundation's TeraGrid
to study unstable periodic orbits in hydrodynamic turbulence. In particular, we
describe new variational principles that have given
rise to new parallel algorithms for determining unstable periodic orbits and
their associated periods efficiently and with high accuracy.