Samenvatting
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.
| Originele taal-2 | English |
|---|---|
| Artikelnummer | 71597 |
| Aantal pagina's | 16 |
| Tijdschrift | Applied Mathematics |
| Volume | 7 |
| Nummer van het tijdschrift | 16 |
| DOI's | |
| Status | Published - 28-okt.-2016 |