Recommend books for dynamical systems?

[nacho-man]

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!

 

[Dustinsfl]

Nonlinear Dynamics And Chaos: With Applications To Physics, Biology, Chemistry, And Engineering (Studies in Nonlinearity): Steven H. Strogatz: 9780738204536: Amazon.com: Books

http://mathhelpboards.com/math-notes-49/advanced-odes-dynamical-systems-2868.html

 

[nacho-man]

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

Is there any way to download them?

 

[Dustinsfl]

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.

 

[blue_raver22]

I would recommend the following books for dynamical systems:

1. "Nonlinear Dynamics and Chaos" by Steven H. Strogatz - This book provides a comprehensive introduction to dynamical systems, including topics such as stability, bifurcations, chaos, and applications in various fields.

2. "Differential Equations, Dynamical Systems, and Linear Algebra" by Morris W. Hirsch, Stephen Smale, and Robert L. Devaney - This book covers a wide range of topics in dynamical systems, including stability, bifurcations, and applications in biology and economics.

3. "Introduction to Applied Nonlinear Dynamical Systems and Chaos" by Stephen Wiggins - This book offers a more advanced treatment of dynamical systems, covering topics such as Lyapunov stability, chaos, and bifurcations in a clear and concise manner.

In addition to these books, I would also recommend looking into online resources such as lecture notes and video lectures from universities, as well as joining online forums and discussion groups for additional support and resources. It is important to also practice problems and work through examples to solidify your understanding of the material. Good luck with your studies!