2 papers
math.DS2018
A KAM-Theorem for Persistence of Quasi-periodic Invariant Tori in Bifurcation Theory of Equilibrium Points
Xuemei Li, Zaijiu Shang
In this paper, we establish a KAM-theorem for ordinary differential equations with finitely differentiable vector fields and multiple degeneracies. The theorem can be used to deal…
math.DS2017
Quasi-periodic solutions for differential equations with an elliptic-type degenerate equilibrium point under small perturbations
Xuemei Li, Zaijiu Shang
This work focuses on the existence of quasi-periodic solutions for ordinary and delay differential equations (ODEs and DDEs for short) with an elliptic-type degenerate equilibrium…