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math.DS2022
Constrained Ergodic optimization for generic continuous functions
Shoya Motonaga, Mao Shinoda
One of the fundamental results of ergodic optimization asserts that for any dynamical system on a compact metric space with the specification property and for a generic continuous…
math.DS2022
Properties of action-minimizing sets and weak KAM solutions via Mather's averaging functions
Shoya Motonaga
We study properties of action-minimizing invariant sets for Tonelli Lagrangian and Hamiltonian systems and weak KAM solutions to the Hamilton-Jacobi equation in terms of Mather's a…
math.DS2022
Nonintegrability of Forced Nonlinear Oscillators
Shoya Motonaga, Kazuyuki Yagasaki
In recent papers by the authors (S.~Motonaga and K.~Yagasaki, Obstructions to integrability of nearly integrable dynamical systems near regular level sets, submitted for publicatio…