The stability domains of Hamiltonian systems

Journal of Applied Mathematics and Mechanics

Volumn 63, Issue 4, 1999, Pages 545-555

  Mailybaev, A A ^a   Seiranyan, A P ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033233706     PISSN: 00218928     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-8928(99)00069-6     Document Type: Article

References (10)

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2. Seiranyan, A. P., Sensitivity analysis of eigenvalues and the development of instability. Strojnicky Casopis, 1991, 42, 3, 193-208.
3. Seyranian, A. P, Sensitivity analysis of multiple eigenvalues. Mech. Struct. and Mach., 1993, 21, 2, 261-284.
4. Mailybaev, A. A. and Seiranyan, A. P., On singularities of the boundary of the stability domain. Dokl. Ross. Akad. Nauk, 1998, 359, 5, 632-636.
5. Yakubovich, V. A. and Starzhinskii, V. M., Parametric Resonance in Linear Systems. Nauka, Moscow, 1987.
6. Arnol'd, V. I., Kozlov, V. V. and Neishtadt, A I., Mathematical Aspects of Classical and Celestial Mechanics (Advances in Science and Technology. Modern Problems in Mathematics. Basic Trends, Vol. 3). Vsesoyz. Inst. Nauch. Tekhn. Inform., Moscow, 1985.
7. Arnol'd, V. I., Geometrical Methods in the Theory of Ordinary Differential Equations. Springer, New York, 1983.
8. Levantovskii, L. V., On the boundary of a set of stable matrices. Uspekhi Mat. Nauk, 1980, 35, 2, 213-214.
9. Thompson, J. M. T., Instabilities and Catastrophes in Science and Engineering. John Wiley, New York, 1982.
10. Barnyak, M. Ya. and Storozhenko, V. A., An investigation of the stability of the vertical rotation of a statically unbalanced system of hinged axially symmetric bodies, Izv. Akad. Nauk SSSR. MTT, 1988, 4, 51-58.