# Graph phase portraits for the systems in Prob. 17 with the values of b suggested in the answer. Try to illustrate how the phase portrait changes “continuously” under a continuous change of b. Data from Prob. 17 The system in Example 4 in Sec. 4.3 has a center as its critical point. Replace each a jk in Example 4, Sec.

Chapter 4, P R O B L E M S E T 4 . 4 #18

Graph phase portraits for the systems in Prob. 17 with the values of b suggested in the answer. Try to illustrate how the phase portrait changes “continuously” under a continuous change of b.

**Data from Prob. 17**

The system in Example 4 in Sec. 4.3 has a center as its critical point. Replace each a_{jk} in Example 4, Sec. 4.3, by a_{jk} + b. Find values of b such that you get (a) a saddle point, (b) a stable and attractive node, (c) a stable and attractive spiral, (d) an unstable spiral, (e) an unstable node.

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P R O B L E M S E T 4 . 3:

- PROBLEMSET4.3-1
- PROBLEMSET4.3-2
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- PROBLEMSET4.3-4
- PROBLEMSET4.3-5
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- PROBLEMSET4.3-18
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P R O B L E M S E T 4 . 4:

P R O B L E M S E T 4 . 5:

PROBLEM SET 4.6: