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Solutions to Nonlinear Dynamics and Chaos 3e by Steven H. Strogatz

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Table of Contents


Chapter 2: Flows on the Line
2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8
Exercise 1 Exercise 1 Exercise 10 Exercise 1 Exercise 1 Exercise 1 Exercise 1 Exercise 1 Exercise 1
Exercise 2 Exercise 2 Exercise 11 Exercise 2 Exercise 2 Exercise 2 Exercise 2 Exercise 2 Exercise 2
Exercise 3 Exercise 3 Exercise 12 Exercise 3 Exercise 3 Exercise 3 Exercise 3 Exercise 3
Exercise 4 Exercise 4 Exercise 13 Exercise 4 Exercise 4 Exercise 4 Exercise 4 Exercise 4
Exercise 5 Exercise 5 Exercise 14 Exercise 5 Exercise 5 Exercise 5 Exercise 5 Exercise 5
Exercise 6 Exercise 6 Exercise 6 Exercise 6 Exercise 6 Exercise 6
Exercise 7 Exercise 7 Exercise 7 Exercise 7
Exercise 8 Exercise 8 Exercise 8
Exercise 9 Exercise 9 Exercise 9

Chapter 3: Bifurcations
3.1 3.2 3.3 3.4 3.5 3.6 3.7
Exercise 1 Exercise 1 Exercise 1 Exercise 1 Exercise 9 Exercise 1 Exercise 1 Exercise 1
Exercise 2 Exercise 2 Exercise 2 Exercise 2 Exercise 10 Exercise 2 Exercise 2 Exercise 2
Exercise 3 Exercise 3 Exercise 3 Exercise 11 Exercise 3 Exercise 3 Exercise 3
Exercise 4 Exercise 4 Exercise 4 Exercise 12 Exercise 4 Exercise 4 Exercise 4
Exercise 5 Exercise 5 Exercise 5 Exercise 13 Exercise 5 Exercise 5 Exercise 5
Exercise 6 Exercise 14 Exercise 6 Exercise 6 Exercise 6
Exercise 7 Exercise 15 Exercise 7 Exercise 7 Exercise 7
Exercise 8 Exercise 16 Exercise 8 Exercise 8

Chapter 4: Flows on the Circle
4.1 4.2 4.3 4.4 4.5 4.6
Exercise 1 Exercise 6 Exercise 1 Exercise 1 Exercise 6 Exercise 1 Exercise 1 Exercise 1 Exercise 6
Exercise 2 Exercise 7 Exercise 2 Exercise 2 Exercise 7 Exercise 2 Exercise 2 Exercise 2
Exercise 3 Exercise 8 Exercise 3 Exercise 3 Exercise 8 Exercise 3 Exercise 3 Exercise 3
Exercise 4 Exercise 9 Exercise 4 Exercise 9 Exercise 4 Exercise 4
Exercise 5 Exercise 5 Exercise 10 Exercise 5

Chapter 5: Linear Systems
5.1 5.2 5.3
Exercise 1 Exercise 6 Exercise 11 Exercise 1 Exercise 6 Exercise 11 Exercise 1 Exercise 6
Exercise 2 Exercise 7 Exercise 12 Exercise 2 Exercise 7 Exercise 12 Exercise 2
Exercise 3 Exercise 8 Exercise 13 Exercise 3 Exercise 8 Exercise 13 Exercise 3
Exercise 4 Exercise 9 Exercise 4 Exercise 9 Exercise 14 Exercise 4
Exercise 5 Exercise 10 Exercise 5 Exercise 10 Exercise 5

Chapter 6: Phase Plane
6.1 6.2 6.3 6.4 6.5 6.6 6.7 6.8
Exercise 1 Exercise 1 Exercise 1 Exercise 15 Exercise 1 Exercise 1 Exercise 15 Exercise 1 Exercise 1 Exercise 1
Exercise 2 Exercise 2 Exercise 2 Exercise 16 Exercise 2 Exercise 2 Exercise 16 Exercise 2 Exercise 2 Exercise 2
Exercise 3 Exercise 3 Exercise 17 Exercise 3 Exercise 3 Exercise 17 Exercise 3 Exercise 3 Exercise 3
Exercise 4 Exercise 4 Exercise 4 Exercise 4 Exercise 18 Exercise 4 Exercise 4 Exercise 4
Exercise 5 Exercise 5 Exercise 5 Exercise 5 Exercise 19 Exercise 5 Exercise 5 Exercise 5
Exercise 6 Exercise 6 Exercise 6 Exercise 6 Exercise 20 Exercise 6 Exercise 6
Exercise 7 Exercise 7 Exercise 7 Exercise 7 Exercise 7 Exercise 7
Exercise 8 Exercise 8 Exercise 8 Exercise 8 Exercise 8 Exercise 8
Exercise 9 Exercise 9 Exercise 9 Exercise 9 Exercise 9 Exercise 9
Exercise 10 Exercise 10 Exercise 10 Exercise 10 Exercise 10 Exercise 10
Exercise 11 Exercise 11 Exercise 11 Exercise 11 Exercise 11 Exercise 11
Exercise 12 Exercise 12 Exercise 12 Exercise 12
Exercise 13 Exercise 13 Exercise 13 Exercise 13
Exercise 14 Exercise 14 Exercise 14 Exercise 14

Chapter 7: Limit Cycles
7.1 7.2 7.3 7.4 7.5 7.6
Exercise 1 Exercise 1 Exercise 11 Exercise 1 Exercise 11 Exercise 1 Exercise 1 Exercise 1 Exercise 11 Exercise 21
Exercise 2 Exercise 2 Exercise 12 Exercise 2 Exercise 12 Exercise 2 Exercise 2 Exercise 2 Exercise 12 Exercise 22
Exercise 3 Exercise 3 Exercise 13 Exercise 3 Exercise 3 Exercise 3 Exercise 13 Exercise 23
Exercise 4 Exercise 4 Exercise 14 Exercise 4 Exercise 4 Exercise 4 Exercise 14 Exercise 24
Exercise 5 Exercise 5 Exercise 15 Exercise 5 Exercise 5 Exercise 5 Exercise 15 Exercise 25
Exercise 6 Exercise 6 Exercise 16 Exercise 6 Exercise 6 Exercise 6 Exercise 16 Exercise 26
Exercise 7 Exercise 7 Exercise 17 Exercise 7 Exercise 7 Exercise 7 Exercise 17
Exercise 8 Exercise 8 Exercise 18 Exercise 8 Exercise 8 Exercise 18
Exercise 9 Exercise 9 Exercise 19 Exercise 9 Exercise 9 Exercise 19
Exercise 10 Exercise 10 Exercise 10 Exercise 20

Chapter 8: Bifurcations Revisited
8.1 8.2 8.3 8.4 8.5 8.6
Exercise 1 Exercise 10 Exercise 1 Exercise 10 Exercise 1 Exercise 1 Exercise 10 Exercise 1 Exercise 1
Exercise 2 Exercise 11 Exercise 2 Exercise 11 Exercise 2 Exercise 2 Exercise 11 Exercise 2 Exercise 2
Exercise 3 Exercise 12 Exercise 3 Exercise 12 Exercise 3 Exercise 3 Exercise 12 Exercise 3 Exercise 3
Exercise 4 Exercise 13 Exercise 4 Exercise 13 Exercise 4 Exercise 4 Exercise 4
Exercise 5 Exercise 14 Exercise 5 Exercise 14 Exercise 5 Exercise 5 Exercise 5
Exercise 6 Exercise 15 Exercise 6 Exercise 15 Exercise 6 Exercise 6
Exercise 7 Exercise 7 Exercise 16 Exercise 7 Exercise 7
Exercise 8 Exercise 8 Exercise 17 Exercise 8 Exercise 8
Exercise 9 Exercise 9 Exercise 9 Exercise 9

Chapter 9: Lorenz Equations
9.1 9.2 9.3 9.4 9.5 9.6
Exercise 1 Exercise 1 Exercise 1 Exercise 7 Exercise 1 Exercise 1 Exercise 1
Exercise 2 Exercise 2 Exercise 2 Exercise 8 Exercise 2 Exercise 2 Exercise 2
Exercise 3 Exercise 3 Exercise 3 Exercise 9 Exercise 3 Exercise 3
Exercise 4 Exercise 4 Exercise 4 Exercise 10 Exercise 4 Exercise 4
Exercise 5 Exercise 5 Exercise 5 Exercise 5 Exercise 5
Exercise 6 Exercise 6 Exercise 6 Exercise 6

Chapter 10: One-Dimensional Maps
10.1 10.2 10.3 10.4 10.5 10.6 10.7
Exercise 1 Exercise 12 Exercise 1 Exercise 1 Exercise 12 Exercise 1 Exercise 1 Exercise 1 Exercise 1
Exercise 2 Exercise 13 Exercise 2 Exercise 2 Exercise 13 Exercise 2 Exercise 2 Exercise 2 Exercise 2
Exercise 3 Exercise 14 Exercise 3 Exercise 3 Exercise 3 Exercise 3 Exercise 3 Exercise 3
Exercise 4 Exercise 4 Exercise 4 Exercise 4 Exercise 4 Exercise 4 Exercise 4
Exercise 5 Exercise 5 Exercise 5 Exercise 5 Exercise 5 Exercise 5 Exercise 5
Exercise 6 Exercise 6 Exercise 6 Exercise 6 Exercise 6 Exercise 6 Exercise 6
Exercise 7 Exercise 7 Exercise 7 Exercise 7 Exercise 7 Exercise 7
Exercise 8 Exercise 8 Exercise 8 Exercise 8 Exercise 8
Exercise 9 Exercise 9 Exercise 9 Exercise 9
Exercise 10 Exercise 10 Exercise 10 Exercise 10
Exercise 11 Exercise 11 Exercise 11 Exercise 11

Chapter 11: Fractals
11.1 11.2 11.3 11.4 11.5
Exercise 1 Exercise 6 Exercise 1 Exercise 6 Exercise 1 Exercise 6 Exercise 1 Exercise 6 Exercise 1
Exercise 2 Exercise 7 Exercise 2 Exercise 2 Exercise 7 Exercise 2 Exercise 7
Exercise 3 Exercise 3 Exercise 3 Exercise 8 Exercise 3 Exercise 8
Exercise 4 Exercise 4 Exercise 4 Exercise 9 Exercise 4 Exercise 9
Exercise 5 Exercise 5 Exercise 5 Exercise 10 Exercise 5 Exercise 10

Chapter 12: Strange Attractors
12.1 12.2 12.3 12.4 12.5
Exercise 1 Exercise 6 Exercise 1 Exercise 6 Exercise 11 Exercise 16 Exercise 1 Exercise 1 Exercise 1
Exercise 2 Exercise 7 Exercise 2 Exercise 7 Exercise 12 Exercise 17 Exercise 2 Exercise 2 Exercise 2
Exercise 3 Exercise 8 Exercise 3 Exercise 8 Exercise 13 Exercise 18 Exercise 3 Exercise 3 Exercise 3
Exercise 4 Exercise 9 Exercise 4 Exercise 9 Exercise 14 Exercise 4 Exercise 4
Exercise 5 Exercise 5 Exercise 10 Exercise 15 Exercise 5


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