Abstract
The aim of this Letter is to show that the singularities of integrable Hamiltonian systems, besides being important for such systems themselves, also have many applications in the study of near-integrable systems. In particular, we will show how they are related to Kolmogorov’s nondegeneracy condition (in the famous KAM theorem), the Poincare-Melnikov function and its generalizations, topological entropy, and nonintegrability criteria.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have