Extension of the domain of applicability of the integral stability criterion (extremum property) in synchronization problems

Journal of Applied Mathematics and Mechanics

Volumn 68, Issue 6, 2004, Pages 839-846

  Blekhman, I I ^a   Yaroshevich, N P ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; EQUATIONS OF MOTION; LAGRANGE MULTIPLIERS; LYAPUNOV METHODS; SYNCHRONIZATION;

INTEGRAL STABILITY CRITERION; MOTION SEPARATION;

STABILITY CRITERIA;

EID: 18644381259     PISSN: 00218928     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jappmathmech.2004.11.005     Document Type: Article

References (11)

1. Blekhman I.I. Justification of the integral criterion of stability of motion in problems on the self-synchronization of vibrators Prikl. Mat. Mekh. 24 6 1960 1100-1103
2. Blekhman I.I. Synchronization in Science and Technology 1981 ASME Press New York
3. Blekhman I.I. Vibrational Mechanics. Nonlinear Dynamic Effects. General Approach. Applications 2000 World Scientific Singapore
4. Barzukov O.P. Multiple synchronization in a system of weakly-coupled objects with one degree of freedom Prikl. Mat. Mekh. 36 2 1972 225-231
5. Yaroshevich H.P. The use of the self-synchronization effect in the excitation of biharmonic vibrations Problemy Mashinostroyeniya i Nadezhnosti Mashin 6 1990 23-27
6. Malakhova O.Z. A singular case in the theory of the self-synchronization of mechanical vibrodrivers Izv. Akad. Nauk SSSR. MTT 1 1990 29-36
7. Ovenden M.W. Feagin T. Graff O. On the principle of least interaction action and the Laplacean satellites of Jupiter and Uranus Celest. Mech. 8 4 1974 455-471
8. Beletskii V.V. Extremum properties of resonant motions Stability of Motion. Analytical Mechanics. Control of Motion 1981 Nauka Moscow 41-55
9. Khentov A. On the principle of strong interaction for the resonant orbital motions of some celestial bodies Mathematics and Computers Simulation 58 4-6 2000 423-434
10. Merkin D.R. Introduction to the Theory of Stability of Motion 1987 Nauka Moscow
11. Lur'ye A.I. Some self-synchronization problems Proc. International Conference on Non-linear Oscillations Vol. 3 1970 Inst. Mat. Akad. Nauk UkrSSR Kiev 449-455