On stability of the Hill's equation with damping

• Published in: Нелінійні коливання
• Date: 2004
• Main Authors: Cattani, C., Grebenikov, E.A., Prokopenya, A.N.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2004
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/177003
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On stability of the Hill's equation with damping / C. Cattani, E.A. Grebenikov, A.N. Prokopenya // Нелінійні коливання. — 2004. — Т. 7, № 2. — С. 169-179. — Бібліогр.: 12 назв. — англ.

We consider the Hill’s equation with damping describing the parametric oscillations of the torsional pendulum excited by means of varying the moment of inertia of the rotating body. Using the method of a small parameter we have calculated analytically a fundamental system of solutions of this equat...