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On the stability of linear conservative gyroscopic systems

โœ Scribed by K. Huseyin; P. Hagedorn; W. Teschner


Publisher
Springer
Year
1983
Tongue
English
Weight
377 KB
Volume
34
Category
Article
ISSN
0044-2275

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โœ T.V. Salโ€™nikova ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 120 KB

The stability of linear potential systems with a degenerate matrix of gyroscopic forces is investigated. Particular attention is devoted to the case of three degrees of freedom. In a development of existing results [Kozlov VV. Gyroscopic stabilization and parametric resonance. Prikl. Mat. Mekh. 2001

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This paper studies the stability behaviour of a linear gyroscopic system parametrically perturbed by a (multiplicative) real noise of small intensity. To this end, its maximal Lyapunov exponent is calculated using the method of Sri Namachchivaya et al. [1]. The results derived are suitable for cases