For a hyperbola that has its centre at the origin of a Cartesian coordinate system and has its transverse axis lying on the x axis, the coordinates of its points satisfy the equation x2/a2 - y2/b2 = 1, in which a and b are constants.
This yields that all omega limit points satisfy (x t)leqfrac{lambda}{d}).
Finally, for every angle (theta _{u,c}^{i+1}), if several points satisfy the criteria defined in Eqs.
It is assumed that the impulsive points satisfy (0=t_{0}< t_{1}=t_{0}=t_{ta<cdots<t_{k}=t_{0}+ktheta<cdots) with (lim_{trightarrow+infty}t_{k}=+infty), that is, the harvests are regular.
We then enumerate all the horizontal line segments and searched for vertical line segments whose end points satisfy the distance criterion.
Given an estimated essential matrix it is possible to investigate whether a set of corresponding image points satisfy the defining epipolar constraint in image plane.
If the following assumptions are satisfied, converges to a limit set in which all points satisfy with probability 1: (A) (B) Noise is a martingale difference, that is, (A.4) (C) is continuous.
The impulsive points satisfy (0<tau_{1}<tau_{2}<cdots), (lim_{krightarrow+infty}tau_{k}=+infty), and the impulsive effects satisfy (lambda_{k}>-1), in particular, (lambda_{k}>0) represent stocking, while (lambda_{k}<0) denote harvesting.
These equilibrium points are locally asymptotically stable if all the eigenvalues (lambda ) of the Jacobian matrix (displaystyle J = frac{partial f}{partial x}) at the equilibrium points satisfy begin{aligned} displaystyle |mathrm{arg}(lambda )| > frac{pi }{2} alpha.
The equilibrium points of system (13) are locally asymptotically stable if all eigenvalues (lambda_{mathrm{i}}) of the Jacobian matrix J, calculated in the equilibrium points, satisfy (vert arg ( lambda_{mathrm{i}} ) vert > varphi frac{pi}{2}).
