Sur la methode des sections pour la recherche de certaines solutions presque periodiques de systemes forces periodiquement

Jean, Michel

doi:10.1016/0020-7462(80)90022-0

Cited by 8 publications

(1 citation statement)

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“…Bürkle et al [2] use a numerical algorithm developed by some of the coauthors [3] to visualize the behavior of more complicated dynamical systems. In the numerical literature, we can find several algorithms for the calculation of closed curves in dynamical systems [10], [19], but these algorithms are tailored to deal with smooth dynamical systems where a closed form solution is given. In contrast, visualization faces far more often piecewise linear or bilinear vector fields.…”

Section: Introductionmentioning

confidence: 99%

Detection and visualization of closed streamlines in planar flows

Wischgoll

Scheuermann

2001

IEEE Trans. Visual. Comput. Graphics

120

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The analysis and visualization of flows is a central problem in visualization. Topology based methods have gained increasing interest in recent years. This article describes a method for the detection of closed streamlines in flows. It is based on a special treatment of cases where a streamline reenters a cell to prevent infinite cycling during streamline calculation. The algorithm checks for possible exits of a loop of crossed edges and detects structurally stable closed streamlines. These global features are not detected by conventional topology and feature detection algorithms.

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Section: Introductionmentioning

confidence: 99%