
Published online:
19 October 2017
Published in print:
26 May 2015
Online ISBN:
9781400866618
Print ISBN:
9780691164502
Contents
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2.1 Action-Minimizing Properties of Measures and Orbits on Kam Tori 2.1 Action-Minimizing Properties of Measures and Orbits on Kam Tori
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Properties: Properties:
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Chapter
Two From KAM Theory to Aubry-Mather Theory
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Pages
8–17
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Published:May 2015
Cite
Sorrentino, Alfonso, 'From KAM Theory to Aubry-Mather Theory', Action-minimizing Methods in Hamiltonian Dynamics (MN-50): An Introduction to Aubry-Mather Theory (Princeton, NJ , 2015; online edn, Princeton Scholarship Online, 19 Oct. 2017), https://doi.org/10.23943/princeton/9780691164502.003.0002, accessed 6 May 2025.
Abstract
This chapter discusses an illustrative example, namely the properties of invariant probability measures and orbits on KAM tori (or more generally, on invariant Lagrangian graphs). This will prepare the ground for understanding the main ideas and techniques that will be developed in the following chapters, without several technicalities that might be confusing to a neophyte.
Subject
Applied Mathematics
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