Problem

Study the following functions by starting with any initial value of x0 in the domain [0,...

Study the following functions by starting with any initial value of x₀ in the domain [0, 2] and iterating x_n₊₁ = F(x_n). First use a calculator and then a computer. Explain the results.

Hint: Don’t be surprised by chaotic behavior. The interested reader can learn more about the dynamics of one dimensional maps by reading papers such as the one by Bassien [1998].

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Solutions For Problems in Chapter 3.3

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