Periodic orbits and unstable manifolds for ordinary
differential equations
羊肉炖什么好吃期刊名称： Numerical Functional Analysis & Optimization多分学情
作者： Shardlow,Tony
正直无私年份： 1996年
期号： 第9-10期就在这一瞬间
关键词： Theoretical or Mathematical/ approximation theory; differential
equations; numerical stability; perturbation techniques/ hyperbolic periodic金陵凤凰台
orbit; unstable manifolds; ordinary differential equations; numerical
perturbations; vector field; approximation; one-step numerical method; first
微波炉不加热是什么原因
order method; trajectories; attractors; Hausdorff; invariant ts/ C4170
Differential equations (numerical analysis) C4130 Interpolation and function
approximation (numerical analysis)
摘要：Consider the unstable manifold of a hyperbolic periodic orbit of an ordinary differential equation under C1 perturbations of the vector field and under approximation by a one-step numerical method, which is at least first order. Trajectories bounded backwards in time near the periodic orbit perturb Hausdorff continuously. This result as applied to numerical perturbations improves on Alouges-Debussche [1], who give only continuity of the unstable maniford, and on Beyn [3], who gives continuity of trajectories only when the periodic orbit is unstable. As a corollary, we find that attractors perturb Hausdorff continuously when the attractor equals a union of locally continuous unstable manifolds of invariant ts
优秀作文选内容由中国教育图书进出口有限公司引进虎骨手串
