Probability-one homotopy methods are a class of methods for solving nonlinear systems of equations that are globally convergent from an arbitrary starting point. The essence of all such algorithms is the construction of an appropriate homotopy map 0,,(;k, x) and subsequent tracking of some smooth cu
✦ LIBER ✦
Homotopy invariants for tangent vector fields on closed sets
✍ Scribed by Aleksander Ćwiszewski; Wojciech Kryszewski
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 347 KB
- Volume
- 65
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
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We study the polynomial vector fields of arbitrary degree in R 3 having the 2-dimensional torus invariant by their flow. We characterize all the possible configurations of invariant meridians and parallels that these vector fields can exhibit. Furthermore we analyze when these invariant either meri