MHB Recommend books for dynamical systems?

nacho-man
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I am finding some topics a bit obscurely explained.
I have attached the curriculum/study guide we are using, and was hoping someone could suggest books which cover these bases.

Particularly finding week 8 a bit difficult at the moment, especially stability (surely just more robust revision and studying is required) but i haven't been successful in finding similar topics covered in textbooks.

I am using Kreyzig advanced engineering mathematics and also PV Oneil's advanced eng mathematics.

Any help is appreciated!
 

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thanks, I had a look at your notes prior as well.

Is there any way to download them?
 
nacho said:
thanks, I had a look at your notes prior as well.

Is there any way to download them?

No, it is setup so you can't.
 
Thread 'Direction Fields and Isoclines'

Thread 'Direction Fields and Isoclines'

I sketched the isoclines for $$ m=-1,0,1,2 $$. Since both $$ \frac{dy}{dx} $$ and $$ D_{y} \frac{dy}{dx} $$ are continuous on the square region R defined by $$ -4\leq x \leq 4, -4 \leq y \leq 4 $$ the existence and uniqueness theorem guarantees that if we pick a point in the interior that lies on an isocline there will be a unique differentiable function (solution) passing through that point. I understand that a solution exists but I unsure how to actually sketch it. For example, consider a...
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