Assess the stability of the equilibrium points of the following systems of difference equations: explain your answers in details (answers without explanation count 0) 0.2 0.5 -0.4] 0.3 1. Yt+1]

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ISBN:9780470458365
Author:Erwin Kreyszig
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Assess the stability of the equilibrium points of the following systems of difference equations:

Assess the stability of the equilibrium points of the following systems of difference equations: explain your
answers in details (answers without explanation count 0)
Xt+1
1.
[0.2
0.3
| Yt+1,
0.5 -0.4
Xt+1
2.
[2
-3
Xt
Yt+1
4
Yt
3.
2yt
Xt+1 =
Xt
1+ x? '
Yt+1 =
3(1+ yt)?
4. Consider the following system of difference equations
Xt+1 = Yt,
Yt+1 = –
Xt + ayt –
2
For which value(s) of a the equilibrium point is locally stable?
Transcribed Image Text:Assess the stability of the equilibrium points of the following systems of difference equations: explain your answers in details (answers without explanation count 0) Xt+1 1. [0.2 0.3 | Yt+1, 0.5 -0.4 Xt+1 2. [2 -3 Xt Yt+1 4 Yt 3. 2yt Xt+1 = Xt 1+ x? ' Yt+1 = 3(1+ yt)? 4. Consider the following system of difference equations Xt+1 = Yt, Yt+1 = – Xt + ayt – 2 For which value(s) of a the equilibrium point is locally stable?
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