Line energies for gradient vector fields in the plane
β Scribed by Luigi Ambrosio; Camillo De Lellis; Carlo Mantegazza
- Book ID
- 106176588
- Publisher
- Springer
- Year
- 1999
- Tongue
- English
- Weight
- 261 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0944-2669
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π SIMILAR VOLUMES
In this paper, we deal with the stabilizability of homogeneous polynomials of degree three by means of homogeneous feedbacks of degree two. Keywords-Homogeneous polynomials of degree three, Nonlinear systems, Homogeneous feedbacks of degree two, Stabilizability.
We consider planar vector fields without zeroes ΞΎ and study the image of the associated Lie derivative operators L ΞΎ acting on the space of smooth functions. We show that the cokernel of L ΞΎ is infinite-dimensional as soon as ΞΎ is not topologically conjugate to a constant vector field and that, if t