oblem 2 Consider the following modular dynamical system, which is neither additive nor multiplicative. (a) Let X=Z/13 and let ƒ : X → X be given by x → f(x) = x² +3. Complete following diagram for the dynamics of f (3 of them have been drawed). 5 4 3 2

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Problem 2 Consider the following modular dynamical system, which is neither additive
nor multiplicative.
(a)
(b)
Let X = Z/13 and let f : X → X be given by
x → f(x) = x² +3.
Complete following diagram for the dynamics of f (3 of them have been drawed).
6
7
5
8
4
=
Let Ao Ō and let An+1
natural representative of A2023 modulo 13?
=
3
10
2
11
1
12
0
f(An) for all integers n ≥ 0. What is the
Transcribed Image Text:Problem 2 Consider the following modular dynamical system, which is neither additive nor multiplicative. (a) (b) Let X = Z/13 and let f : X → X be given by x → f(x) = x² +3. Complete following diagram for the dynamics of f (3 of them have been drawed). 6 7 5 8 4 = Let Ao Ō and let An+1 natural representative of A2023 modulo 13? = 3 10 2 11 1 12 0 f(An) for all integers n ≥ 0. What is the
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