I need sources to learn about dynamic systems

AI Thread Summary
The discussion centers around preparing for an upcoming exam focused on dynamic and chaotic systems. Key topics include understanding the characteristics of these systems, identifying special points in the dynamic plane, and determining system stability. Specific questions raised include the relationship between dynamic chaos and the butterfly effect, the basis of population dynamic models, and the characteristics of chaotic attractors. The poster seeks clarification on whether a given dynamic system is conservative or dissipative, linear, and the stability of identified special points, expressing uncertainty about a potential homoclinic bifurcation. Recommendations for study materials include classic texts and lectures by Steven Strogatz, which are acknowledged as foundational resources for this subject.
Ugnius
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Hi! I have exam in couple of weeks , and now am looking for sources to learn about dynamic systems , chaotic systems and etc.
My main goal is to learn characteristics of such systems , learn about special points in dynamic plane.
For the most part we used to create dynamic system simulations like finding special points like saddles , spirals and centres , indentifying their stability. Now i'll need to do that in theory exam. I'll post some questions to give you better representation.
Examples:
How is dynamic chaos related to butterfly effect?
What are population dynamic models based on?
What are characteristics of chaotic dynamic system attractors?
On the picture below , you see a dynamic system plane.
1684438616917.png

Is this system conservative or dissipative ? Is this system linear?
What special points do you see here , are they stable?
( On this last question , i'm especially lost , i've been looking to the literature given , but could find nothing similar , for me it looks like this is homoclinic bifirculation , but im not sure )

I don't want to make this post any longer, i'm very thankful in advance for anyone willing to guide me in a right way. Any source of information like books , threads or youtube videos will be helpful.
 
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The classic text here is by Strogatz
 
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Likes bigfooted, Ugnius and Frabjous
Here are some Strogratz lectures
 
Muu9 said:
The classic text here is by Strogatz
Yup always start with that one
 
malawi_glenn said:
Yup always start with that one
Frabjous said:
Here are some Strogratz lectures

Muu9 said:
The classic text here is by Strogatz
Thank you!
 
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