1 citations · 1 across the 3 of their papers we have counts for
4 papers
Normal Singular Geodesics of a Conformally Generic Sub-Riemannian Metric
Shahriar Aslani
We prove that a Mañé generic real-analytic -Hamiltonian H, subjected to a totally non-holonomic real-analytic distribution , has no non-trivial normal -singular orbits of…
Bumpy metric theorem for co-rank 1 sub-Riemannian and reversible sub-Finsler metrics
Shahriar Aslani, Ke Zhang
We prove that for a generic sub-Riemannian and reversible sub-Finsler metrics defined on a fixed co-rank 1 distribution, all strictly normal periodic orbits are non-degenerate.
Bumpy metric theorem in the sense of Man{é} for non-convex Hamiltonians
Shahriar Aslani, Patrick Bernard
We prove a bumpy metric theorem in the sense of Mañe for non-convex Hamiltonians that are satisfying a certain geometric property.
Normal form near orbit segments of convex Hamiltonian systems
Shahriar Aslani, Patrick Bernard
In the study of Hamiltonian systems on cotangent bundles, it is natural to perturb Hamiltoni-ans by adding potentials (functions depending only on the base point). This led to the…