On commuting Tonelli Hamiltonians: Time-periodic case

2010/01/08 by Xiaojun Cui, Cui, Xiaojun · 1 citation
Computer Science · Physics and Astronomy · #Advanced Chemical Physics Studies #Dynamical Systems (math.DS) #FOS: Mathematics #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.1001.1324

openalex publication_date 2010/01/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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