Introductory books to Hamiltonian chaos

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    Chaos Hamiltonian
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Discussion Overview

The discussion centers around recommendations for introductory books or references on Hamiltonian chaos and KAM theory. Participants seek resources that are accessible without requiring advanced mathematical knowledge while still providing a comprehensive understanding of the topics, including limitations of canonical perturbation theories.

Discussion Character

  • Exploratory, Technical explanation

Main Points Raised

  • One participant requests books or references that cover Hamiltonian chaos and KAM theory in an accessible manner.
  • Another participant humorously suggests reading Strogatz's book as if it were a comic book.
  • A third participant echoes the comic book suggestion and recommends a specific book by Sardar.
  • One participant mentions that Ott's "Chaos in Dynamical Systems" includes a chapter relevant to the discussion.

Areas of Agreement / Disagreement

Participants express varying preferences for resources but do not reach a consensus on specific recommendations or the best approach to studying the topic.

Contextual Notes

Some participants highlight the need for resources that discuss limitations of canonical perturbation theories, indicating a potential gap in available literature.

Who May Find This Useful

Readers interested in Hamiltonian chaos, KAM theory, and accessible mathematical texts may find this discussion relevant.

andresB
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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.
 
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Can you read Strogaz book as if it were a comic book?
 

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