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Action-minimizing Methods in Hamiltonian Dynamics (MN-50)
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Action-minimizing Methods in Hamiltonian Dynamics (MN-50): An Introduction to Aubry-Mather Theory

Alfonso Sorrentino

Abstract

John Mather's seminal works in Hamiltonian dynamics represent some of the most important contributions to our understanding of the complex balance between stable and unstable motions in classical mechanics. His novel approach—known as Aubry–Mather theory—singles out the existence of special orbits and invariant measures of the system, which possess a very rich dynamical and geometric structure. In particular, the associated invariant sets play a leading role in determining the global dynamics of the system. This book provides a comprehensive introduction to Mather's theory, and can serve as an ... More

Keywords: John Mather, Hamiltonian dynamics, Aubry–Mather theory, classical mechanics, KAM theory, chaos, stable motion, unstable motion, orbits

Bibliographic Information

Print publication date: 2015 Print ISBN-13: 9780691164502
Published to Princeton Scholarship Online: October 2017 DOI:10.23943/princeton/9780691164502.001.0001

Authors

Affiliations are at time of print publication.

Alfonso Sorrentino, author
Università degli Studi di Roma "Tor Vergata"