Convert the van der Pol equation to a system. Graph the limit cycle and some approaching trajectories for μ = 0.2, 0.4, 06, 0.8, 1.0, 1.5, 2.0. Try to observe how the limit cycle changes its form continuously if you vary μ continuously. Describe in words how the limit cycle is deformed with growing μ.
Chapter 4, P R O B L E M S E T 4 . 5 #3
Convert the van der Pol equation to a system. Graph the limit cycle and some approaching trajectories for μ = 0.2, 0.4, 06, 0.8, 1.0, 1.5, 2.0. Try to observe how the limit cycle changes its form continuously if you vary μ continuously. Describe in words how the limit cycle is deformed with growing μ.
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P R O B L E M S E T 4 . 3:
- PROBLEMSET4.3-1
- PROBLEMSET4.3-2
- PROBLEMSET4.3-3
- PROBLEMSET4.3-4
- PROBLEMSET4.3-5
- PROBLEMSET4.3-6
- PROBLEMSET4.3-7
- PROBLEMSET4.3-8
- PROBLEMSET4.3-9
- PROBLEMSET4.3-10
- PROBLEMSET4.3-11
- PROBLEMSET4.3-12
- PROBLEMSET4.3-13
- PROBLEMSET4.3-14
- PROBLEMSET4.3-15
- PROBLEMSET4.3-16
- PROBLEMSET4.3-17
- PROBLEMSET4.3-18
- PROBLEMSET4.3-19
- PROBLEMSET4.3-20
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: