Differentiability of Mather's average action and integrability on closed surfaces

Massart, Daniel; Sorrentino, Alfonso

Massart, Daniel; Sorrentino, Alfonso (2011), Differentiability of Mather's average action and integrability on closed surfaces, Nonlinearity, 24, 6. http://dx.doi.org/10.1088/0951-7715/24/6/005

Type

Article accepté pour publication ou publié

External document link

http://hal.archives-ouvertes.fr/hal-00404082

Date

2011

Journal name

Nonlinearity

Volume

Number

Publisher

IOP

Abstract (EN)

In this paper we study the differentiability of Mather's average action, or β-function, on closed surfaces, with particular attention to its relation to the integrability of the system.

Subjects / Keywords

integrability of the system; Mather's average action; β-function