2 papers
math.DS2026
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.DS2024
Melnikov's persistence for completely degenerate Hamiltonian systems
Jiayin Du, Shuguan Ji, Yong Li
In this paper, we study the Melnikov's persistence for completely degenerate Hamiltonian systems with the following Hamiltonian \begin{equation*} H(x,y,u,v)=h(y)+g(u,v)+\varepsilon…