Phase Portraits of Linear Systems
نویسنده
چکیده
1.1. One positive and one negative eigenvalue. This is described in Example 4.2.1 of [1]. Here the origin is a saddle: unstable but neither a repeller nor an attractor. Draw the two eigenlines (the lines defined by eigenvectors). Put two “outward” arrows on the eigenline that corresponds to the positive eigenvalue and two “inward” arrows on the eigenline for the negative eigenvalue. Fill in the “quadrants” between eigenlines with “hyperbolic” curves with arrows that are consistent with the ones on the eigenlines. See Figures 4.8 and 4.9 in [1].
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تاریخ انتشار 2008