物理学报2011，Vol.60Issue(3)：27-33,7.
连续时间系统二维不稳定流形的异构算法
A heterogeneous computing algorithm for two-dimensional unstable manifolds of time-continuous systems
摘要
Abstract
Two-dimensional manifolds usually contain many nonlinear behaviors in complicate structures, which implies that much numerical calculation must be done during computing.Therefore, how to accomplish the work efficiently is a key problem.Since today' s computers tend to heterogeneous platforms including multi-core CPUs and general purpose GPUs,this paper proposes a fast manifold computing algorithm, which is not only of high precision and versatility, but also very suited to the new generation of computers.The algorithm contains two kinds of computation: extending trajectories and generating triangles.The former is large and simple, which is suitable for GPU; the later is small and complicate, which is suitable for CPU.The computation for the stable manifold of the Lorenz system at the origin shows that this algorithm ensures the best performance of heterogeneous platforms and improve the computing speed greatly.关键词
不稳定流形/流形计算/异构计算/Lorenz系统Key words
unstable manifold/manifold computation/ heterogeneous computing/ Lorenz system引用本文复制引用
李清都,谭宇玲,杨芳艳..连续时间系统二维不稳定流形的异构算法[J].物理学报,2011,60(3):27-33,7.基金项目
国家自然科学基金(批准号:10926072,10972082),重庆市教委项目(批准号:KJ080515),重庆市科委项目(批准号:CSTC-2008BB2409)资助的课题. （批准号:10926072,10972082）
