Periodic orbits and unstable manifolds for ordinary东莞商务英语培训
evenifdifferential equations
shurikenfight song期刊名称： Numerical Functional Analysis & Optimization
开始的英文作者： Shardlow,Tony
年份： 1996年
期号： 第9-10期
关键词： Theoretical or Mathematical/ approximation theory; differential
equations; numerical stability; perturbation techniques/ hyperbolic periodic
orbit; unstable manifolds; ordinary differential equations; numerical
weekendsperturbations; vector field; approximation; one-step numerical method; first
口号英语翻译line phone
order method; trajectories; attractors; Hausdorff; invariant ts/ C4170
Differential equations (numerical analysis) C4130 Interpolation and function
approximation (numerical analysis)
facebook是什么东西摘要：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
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