4 papers
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…
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…
Obstructions to Integrability of Nearly Integrable Dynamical Systems near Regular Level Sets
Shoya Motonaga, Kazuyuki Yagasaki
We study the existence of real-analytic first integrals and real-analytic integrability for perturbations of integrable systems in the sense of Bogoyavlenskij including non-Hamilto…
Persistence of periodic and homoclinic orbits, first integrals and commutative vector fields in dynamical systems
Shoya Motonaga, Kazuyuki Yagasaki
We study persistence of periodic and homoclinic orbits, first integrals and commutative vector fields in dynamical systems depending on a small parameter and give s…