Topological conjugacy of cascades generated by gradient flows on the two-dimensional sphere
Bielecki, Andrzej
Annales Polonici Mathematici, Tome 75 (2000), p. 37-57 / Harvested from The Polish Digital Mathematics Library
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This article presents a theorem about the topological conjugacy of a gradient dynamical system with a constant time step and the cascade generated by its Euler method. It is shown that on the two-dimensional sphere S² the gradient dynamical flow is, under some natural assumptions, correctly reproduced by the Euler method for a sufficiently small time step. This means that the time-map of the induced dynamical system is globally topologically conjugate to the discrete dynamical system obtained via the Euler method.

Publié le : 2000-01-01
EUDML-ID : urn:eudml:doc:262842 
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Bielecki, Andrzej. Topological conjugacy of cascades generated by gradient flows on the two-dimensional sphere. Annales Polonici Mathematici, Tome 75 (2000) pp. 37-57. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv73z1p37bwm/

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