On commuting Tonelli Hamiltonians: Time-periodic case

Abstract

We show that the Aubry sets, the Mañé sets and Mather's barrier functions are the same for two commuting time-periodic Tonelli Hamiltonians.

17 pages

References in corpus (1)

• Weak KAM for commuting Hamiltonians

Cited by in corpus (2)

• Weak KAM theoretic aspects for nonregular commuting Hamiltonians
• On commuting Tonelli Hamiltonians: Autonomous case