Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8899029 | Journal of Differential Equations | 2018 | 20 Pages |
Abstract
In this paper we are concerned with the periodic Hamiltonian system with one degree of freedom, where the origin is a trivial solution. We assume that the corresponding linearized system at the origin is elliptic, and the characteristic exponents of the linearized system are ±iÏ with Ï be a Diophantine number, moreover if the system is formally linearizable, then it is analytically linearizable. As a result, the origin is always stable in the sense of Liapunov in this case.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Nina Xue, Xiong Li,