隐藏p标签:请问怎么翻译这几句话呢?谢谢

Note: If you wish your class to sketch trajectories for anything except saddle points, you will need to go beyond the discussion in the next. The following remarks from the Study Guide are relevant.
Sketching trajectories for a dynamical system in which the origin is an attractor or a repellor is more difficult than the sketch in Exercise 7.There has been no discussion of the direction in which the trajectories “bend” as they move toward or away from the origin. For instance, if you rotate Figure 1 of Section 5.6 through a quarter-turn and relabel the axes so that x1 is on the horizontal axis, then the new figure corresponds to the matrix A with the diagonal entries .8 and .64 interchanged. In general ,if A is a diagonal matrix, with positive diagonal entries a and d, unequal to 1, then the trajectories lie on the axes or on curves whose equations have the form x2 =r(x1) , where s=(Ind)/(Ina) and r depends on the initial point x0. (See Encounters with Chaos , by Denny Gulick, New York: McGraw-Hill,1992, pp.147-150)
8. The matrix from Exercise 2 has eigenvalues 3,4/5 , and 3/5. Since one eigenvalue is greatest than 1 and the others are less than one in magnitude , the origin is a saddle point . The direction of greatest repulsion is the line through the origin and the eigenvector (1,0,-3) for the eigenvalue 3 .The direction of greatest attraction is the line through the origin and the eigenvector (-3,-3,7) for the smallest eigenvalue 3/5 .