Classical Introductory books to Hamiltonian chaos

  • Thread starter Thread starter andresB
  • Start date Start date
  • Tags Tags
    Chaos Hamiltonian
AI Thread Summary
For those interested in studying Hamiltonian chaos and KAM theory without needing an advanced math background, several resources are recommended. A notable suggestion is Strogatz's book, which, while comprehensive, is approachable for beginners. There is curiosity about whether this book can be interpreted in a more visual or simplified format, akin to a comic book. Additionally, Ott's "Chaos in Dynamical Systems" includes a relevant chapter on the topic, providing further insights. The discussion also highlights the importance of understanding the limitations of canonical perturbation theories within this field. Overall, the focus is on accessible yet thorough materials for grasping these complex concepts.
andresB
Messages
625
Reaction score
374
I'm looking for books (or any other reference) to start studying the emergence of Hamiltonian chaos and KAM theory. You know, something that doesn't require a Ph.D in math to understand but is comprehensive enough to give a good understanding of the topic. Added bonus if it has a discussion on the limitations of canonical perturbation theories.
 
Physics news on Phys.org
Can you read Strogaz book as if it were a comic book?
 
By looking around, it seems like Dr. Hassani's books are great for studying "mathematical methods for the physicist/engineer." One is for the beginner physicist [Mathematical Methods: For Students of Physics and Related Fields] and the other is [Mathematical Physics: A Modern Introduction to Its Foundations] for the advanced undergraduate / grad student. I'm a sophomore undergrad and I have taken up the standard calculus sequence (~3sems) and ODEs. I want to self study ahead in mathematics...

Similar threads

Replies
39
Views
7K
Replies
7
Views
15K
Replies
6
Views
2K
Replies
1
Views
2K
Replies
18
Views
3K
Replies
0
Views
3K
Replies
26
Views
5K
Replies
5
Views
4K
Back
Top