We consider the sub-Riemannian length optimization problem on the group of
motions of hyperbolic plane i.e. the special hyperbolic group SH(2). The system
comprises of left invariant vector fields with 2 dimensional linear control
input and energy cost functional. We prove the global controllability of
control distribution and use Pontryagin Maximum Principle to obtain the
extremal control input and sub-Riemannian geodesics. The abnormal and normal
extremal trajectories of the system are analyzed qualitatively and investigated
for strict abnormality. A change of coordinates transforms the vertical
subssystem of the normal Hamiltonian system into mathematical pendulum. In
suitable elliptic coordinates the vertical and horizontal subsystems are
integrated such that the resulting extremal trajectories are parametrized by
Jacobi elliptic functions.
We study global Poincare inequalities on balls in a large class
Of sub-Riemannian manifolds satisfying the generalized curvature dimension
Inequality introduced by F.Baudoin and N.Garofalo. As a corollary, we prove the
Uniqueness of solutions for the subelliptic heat equation. Our results apply in
We report the results of the mitochondrial DNA (mtDNA) sequence polymorphisms analyses to assess the genetic diversity and possible maternal origin of Bangladeshi indigenous chickens. A 648-bp fragment of mtDNA control region (D-loop) was analyzed in 96 samples from four different chicken population...
We review a scheme for performing a back-action evading measurement of one
Mechanical quadrature in an optomechanical setup. The experimental application
Of this scheme has been limited by parametric instabilities caused in general
By a slight dependence of the mechanical frequency on the electromag...
Pubget Updates sends you emails when Pubget finds new papers that match your search. Use Pubget Updates to get the latest articles for your specialty, written by a colleague, or published by your favorite journals.