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High-order adaptive method for computing two-dimensional invariant manifolds of three-dimensional maps

机译:计算三维图二维不变流形的高阶自适应方法

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摘要

An efficient and accurate numerical method is presented for computing invariant manifolds of maps which arise in the study of dynamical systems. A quasi-interpolation method due to Hering-Bertram et al. is used to decrease the number of points needed to compute a portion of the manifold. Bezier triangular patches are used in this construction, together with adaptivity conditions based on properties of these patches. Several numerical tests are performed, which show the method to compare favorably with Drevious aDDroaches.
机译:提出了一种有效而精确的数值方法,用于计算在动力学系统研究中出现的地图不变流形。归因于Hering-Bertram等人。用于减少计算歧管的一部分所需的点数。在该构造中使用了贝塞尔三角形贴片,以及基于这些贴片特性的适应性条件。进行了一些数值测试,显示了与Drevious aDDroache进行比较的方法。

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