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# GDB NUMBER 04

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### Replies to This Discussion

Both the items grow in size as K→∞.

In this question the origin is called a repoller

of the dynamical system. This occurs when both eiginvalues

are greater then 1 in magnitude

Baqi right hai kia sil mera?

Had ha yeh to meri file hai :-/

I think 2nd question is not right

As it is not required in the question

You have to find limda and from the matrix you will find that

limda 1=4+(13)^1/2

limda 2=4-(13)^1/2

as limda1>1>limda2

So the origin is a saddle point

In this example ‘O’ is called the saddle point because one eigenvalue is greater than ‘1’ in magnitude and one is less than ‘1’ in magnitude. The origin attracts solution from some directions and repels them in other directions

It is mentioned in Handouts Page # 424

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