Introductory books to Hamiltonian chaos

In summary, the conversation discussed finding resources for studying Hamiltonian chaos and KAM theory that are comprehensive yet not too advanced. There was also a mention of wanting a reference that discusses the limitations of canonical perturbation theories. One suggestion was to read Ott's book on Chaos in Dynamical Systems, which includes a chapter on the topic. Additionally, there was a mention of reading Sardar's book, "Chaos and Complexity: New Perspectives on Organization Theory."
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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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1. What is Hamiltonian chaos?

Hamiltonian chaos is a phenomenon in which a system governed by Hamilton's equations of motion exhibits unpredictable and irregular behavior. This is often seen in systems with multiple degrees of freedom, such as celestial bodies or pendulums.

2. What are introductory books to Hamiltonian chaos?

Introductory books to Hamiltonian chaos are resources that provide an overview of the basic concepts and principles of Hamiltonian chaos. They typically cover topics such as Hamilton's equations, chaos theory, and the applications of Hamiltonian chaos in various fields.

3. Who would benefit from reading introductory books to Hamiltonian chaos?

Anyone with an interest in understanding the fundamental principles of Hamiltonian chaos would benefit from reading introductory books on the subject. This includes scientists, researchers, and students in fields such as physics, mathematics, and engineering.

4. How do introductory books to Hamiltonian chaos differ from other books on chaos theory?

Introductory books to Hamiltonian chaos specifically focus on the application of Hamiltonian dynamics to the study of chaotic systems. They may also cover the mathematical foundations of Hamiltonian chaos, which sets them apart from general books on chaos theory.

5. Can introductory books to Hamiltonian chaos be used as a standalone resource?

While introductory books to Hamiltonian chaos provide a comprehensive overview of the subject, they are often used as a supplement to other resources. They may be used in conjunction with lectures, research papers, or more advanced textbooks for a deeper understanding of Hamiltonian chaos.

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