Chaos Assignments
for Dr. Howard's class
Chapter 1:
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1.1: # 1, 3, 5, 7, 9, 11, 13, 15, 17,
19, 21
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1.2: # 1, 3, 5, 7, 9, 11, 13, 15, 17,
19, 21, 23, 25, 27, 29, 31
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1.3: # 1, 3, 5, 7, 9, 11, 13, 15
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1.4: # 2, 4, 7
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1.5: # 1, 2, 3, 4, 5, 7, 9, 10, 11, 13,
14, 16, 17, 18, 19, 21, 23, 25, 27, 28, 31
Chapter 2:
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2.1: # 1, 2, 8
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2.2: # 4 and 6 (one more generation, not
two), 9, 10
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2.3: # 2 and 4. Photocopy the graphs
from the text; indicate your work on the photocopy (show squares counted).
Chapter 3:
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3.1: # 2, 4, 5, 6, 10, 11, 12, 20
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3.2: # 2, 4c, 4d, 5, 6e, 6f, 10, 11, and
doubling
function problem
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3.3: # 2, 4, 6, 8 (changed from 9 because
of a book error)
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3.4: # 8 + supplemental
problems
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3.5: # 3, 8, 9, 10, 12, and doubling
function question
Chapter 4:
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4.1: supplemental
problems
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4.2: Modify the logistic
map orbit program to create an orbit diagram for the quadratic family
Qc
= x2 + c. Use
the parameter range -2 < c < 0.25
and the x-interval (vertical axis) -2 < x < 2
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4.3: # 2, 3, 6, 11
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4.4: # 2, 4, 8, 10
Chapter 5:
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5.1: # 2, 4, 15, 18, 22, 26, 30, 34, 36,
38, 40, 41, 42, 43
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5.2: # 2, 4, 6, 8, 10, 11, 12
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5.3: # 2a, 2b, 3a, 3c, 3d, 3e, 4b, 4e,
5, 6, 7, 10, 12, 14
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5.4: # 4, 6, 7, 14, 15
Chapter 6:
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6.1: # 3, 5, 6
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6.2: # 2, 4, 6, 8 (use WINFEED for these)
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6.3: # 1, 2, 3, 8, 14 (use WINFEED for
8 and 14)
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6.4: # 3, 5
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6.5: # 1, 2, 3, 4
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6.6: # 1
Chapter 7:
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7.3: # 1, 7, 8
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7.4: # 4, 5, 6, 7, 8, 9
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Time permitting, we'll discuss conjugacy of
maps and I may assign related supplementary problems