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math.DS2025
Averaging method for quasi-periodic response solutions
Jiamin Xing, Yong Li, Shuguan Ji
In this paper, we present an averaging method for obtaining quasi-periodic response solutions in perturbed, real analytic, quasi-periodic systems with Diophantine frequency vectors…
math.DS2023
Lower dimensional invariant tori for multi-scale Hamiltonian systems
Weichao Qian, Shuguan Ji, Yong Li
The ``Fundamental Theorem" given by Arnold in [2] asserts the persistence of full dimensional invariant tori for 2-scale Hamiltonian systems. However, persistence in multi-scale sy…