Parametric resonance and geodesics on an ellipsoid - Veselov - 1992 () Citation Context ...r problem (2) − ∂ 2 σΨ(E, σ) + ũ(σ)Ψ(E, σ) = EΨ(E, σ). The connection between the the geodesics on the ellipsoid and the Harry-Dym equation was first observed by Cao ...
sinθ,v(θ):=−a(b−1)ab−1cosθ, has image contained in the CR-umbilical locus:γ(R)⊂UmbCR(Ea,b)⊂Ea,b of the ellipsoid of equation , where the CR-umbilical locus of a Levi nondegenerate hypersurface is the set of points at which the Cartan curvature of ...
ParametricPlot3D[{fx, fy, fz}, {u, umin, umax}] produces a three-dimensional space curve parametrized by a variable u which runs from umin to umax. ParametricPlot3D[{fx, fy, fz}, {u, umin, umax}, {v, vmin, vmax}] produces a three-dimensional surface para
Ellipsoids are usually used as a shape of the DoA [93, 145]. Researches on the DoA have been given for uncertain polynomial continuous-time systems in [19]. Analytical approximation of a maximal invariant ellipsoid has been discussed for discrete-time systems with bounded controls [199]. The ...
While the Bloch equation can be used for simulating the signal evolution for a given flip angle, TR, TE, and the set of relaxation times for one single compartment, a model based on multiple compartments [29,51,52], including the magnetization exchange between the compartments within a voxel...