Abstract
This paper presents two contributions to the stability analysis of periodic systems
modeled by a Hill equation: The first is a new method for the computation of the
Arnold Tongues associated to a given Hill equation which is based on the discretization of the latter. Using the proposed method, a vibrational stabilization is performed by a change in the periodic function which guarantees stability, given that the original equation has unbounded solutions. The results are illustrated by some examples.
modeled by a Hill equation: The first is a new method for the computation of the
Arnold Tongues associated to a given Hill equation which is based on the discretization of the latter. Using the proposed method, a vibrational stabilization is performed by a change in the periodic function which guarantees stability, given that the original equation has unbounded solutions. The results are illustrated by some examples.
| Original language | English |
|---|---|
| Article number | 71597 |
| Number of pages | 16 |
| Journal | Applied Mathematics |
| Volume | 7 |
| Issue number | 16 |
| DOIs | |
| Publication status | Published - 28-Oct-2016 |
Keywords
- Vibrational Stabilization
- Hill Equation
- Periodic Systems
- Arnold Tongues