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Journal Articles Comptes rendus de l'Académie des sciences. Série I, Mathématique Year : 2003

Generic properties of singular trajectories

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Yacine Chitour
Frédéric Jean

Abstract

We give genericity results for singular trajectories in sub-Riemannian geometry: generically (in the sense of the Whitney topology), every singular trajectory is of minimal order and of corank 1 and in particular is not of Goh type if the rank of the distribution is greater or equal to 3. We extend these results to control-affine systems.
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Dates and versions

hal-00086321 , version 1 (18-07-2006)

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  • HAL Id : hal-00086321 , version 1

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Yacine Chitour, Frédéric Jean, Emmanuel Trélat. Generic properties of singular trajectories. Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2003, 337 (1), pp.49--52. ⟨hal-00086321⟩
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