Consider that the final super-stable cycles of periods 5, 6, 4, 6, 5, 6 in the logistic map occur at approximately the following values of r : 3.9057065 , 3.9375364 , 3.9602701 , 3.9777664 , 3.9902670 , 3.9975831 . They are all near the end of the orbit diagram. They have tiny windows around them and tend to be overlooked. Plot the cobwebs for these cycles. Explain why it is hard to obtain the cycles of the periods 5 and 6 . Concept Introduction: Plot the logistic map function for different periods with its parameter value. Observe the trajectory path from period 2 to 6 .

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Answer 1

Question

Chapter 10.6, Problem 5E

Interpretation Introduction

Interpretation:

Consider that the final super-stable cycles of periods 5, 6, 4, 6, 5, 6 in the logistic map occur at approximately the following values of r: 3.9057065, 3.9375364, 3.9602701, 3.9777664, 3.9902670, 3.9975831. They are all near the end of the orbit diagram. They have tiny windows around them and tend to be overlooked. Plot the cobwebs for these cycles. Explain why it is hard to obtain the cycles of the periods 5 and 6.

Concept Introduction:

Plot the logistic map function for different periods with its parameter value.

Observe the trajectory path from period 2 to 6.

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Answer 2

Question

Chapter 10.6, Problem 5E

Interpretation Introduction

Interpretation:

Consider that the final super-stable cycles of periods 5, 6, 4, 6, 5, 6 in the logistic map occur at approximately the following values of r: 3.9057065, 3.9375364, 3.9602701, 3.9777664, 3.9902670, 3.9975831. They are all near the end of the orbit diagram. They have tiny windows around them and tend to be overlooked. Plot the cobwebs for these cycles. Explain why it is hard to obtain the cycles of the periods 5 and 6.

Concept Introduction:

Plot the logistic map function for different periods with its parameter value.

Observe the trajectory path from period 2 to 6.

Expert Solution & Answer

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Answer 3

Question

Chapter 10.6, Problem 5E

Interpretation Introduction

Interpretation:

Consider that the final super-stable cycles of periods 5, 6, 4, 6, 5, 6 in the logistic map occur at approximately the following values of r: 3.9057065, 3.9375364, 3.9602701, 3.9777664, 3.9902670, 3.9975831. They are all near the end of the orbit diagram. They have tiny windows around them and tend to be overlooked. Plot the cobwebs for these cycles. Explain why it is hard to obtain the cycles of the periods 5 and 6.

Concept Introduction:

Plot the logistic map function for different periods with its parameter value.

Observe the trajectory path from period 2 to 6.

Expert Solution & Answer

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See solution

Answer 4

Question

Chapter 10.6, Problem 5E

Interpretation Introduction

Interpretation:

Consider that the final super-stable cycles of periods 5, 6, 4, 6, 5, 6 in the logistic map occur at approximately the following values of r: 3.9057065, 3.9375364, 3.9602701, 3.9777664, 3.9902670, 3.9975831. They are all near the end of the orbit diagram. They have tiny windows around them and tend to be overlooked. Plot the cobwebs for these cycles. Explain why it is hard to obtain the cycles of the periods 5 and 6.

Concept Introduction:

Plot the logistic map function for different periods with its parameter value.

Observe the trajectory path from period 2 to 6.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 10.6, Problem 5E

Interpretation Introduction

Interpretation:

Consider that the final super-stable cycles of periods 5, 6, 4, 6, 5, 6 in the logistic map occur at approximately the following values of r: 3.9057065, 3.9375364, 3.9602701, 3.9777664, 3.9902670, 3.9975831. They are all near the end of the orbit diagram. They have tiny windows around them and tend to be overlooked. Plot the cobwebs for these cycles. Explain why it is hard to obtain the cycles of the periods 5 and 6.

Concept Introduction:

Plot the logistic map function for different periods with its parameter value.

Observe the trajectory path from period 2 to 6.

Answer 6

Chapter 10.6, Problem 5E

Interpretation Introduction

Interpretation:

Consider that the final super-stable cycles of periods 5, 6, 4, 6, 5, 6 in the logistic map occur at approximately the following values of r: 3.9057065, 3.9375364, 3.9602701, 3.9777664, 3.9902670, 3.9975831. They are all near the end of the orbit diagram. They have tiny windows around them and tend to be overlooked. Plot the cobwebs for these cycles. Explain why it is hard to obtain the cycles of the periods 5 and 6.

Concept Introduction:

Plot the logistic map function for different periods with its parameter value.

Observe the trajectory path from period 2 to 6.

Answer 7

Chapter 10.6, Problem 5E

Interpretation Introduction

Interpretation:

Consider that the final super-stable cycles of periods 5, 6, 4, 6, 5, 6 in the logistic map occur at approximately the following values of r: 3.9057065, 3.9375364, 3.9602701, 3.9777664, 3.9902670, 3.9975831. They are all near the end of the orbit diagram. They have tiny windows around them and tend to be overlooked. Plot the cobwebs for these cycles. Explain why it is hard to obtain the cycles of the periods 5 and 6.

Concept Introduction:

Plot the logistic map function for different periods with its parameter value.

Observe the trajectory path from period 2 to 6.

Answer 8

Expert Solution & Answer

Answer 9

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Answer 10

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Answer 11

Ch. 10.1 - Prob. 1E Ch. 10.1 - Prob. 2E Ch. 10.1 - Prob. 3E Ch. 10.1 - Prob. 4E Ch. 10.1 - Prob. 5E Ch. 10.1 - Prob. 6E Ch. 10.1 - Prob. 7E Ch. 10.1 - Prob. 8E Ch. 10.1 - Prob. 9E Ch. 10.1 - Prob. 10E

Solution Summary: The author explains that the final super-stable cycles of periods 5, 6, 4, 6, 5, 6 in the logistic map occur at approximately the following values — they are all near the end of the orbit diagram

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