Slightly damped librations
- 1 January 1967
- journal article
- Published by American Mathematical Society (AMS) in Quarterly of Applied Mathematics
- Vol. 24 (4) , 365-370
- https://doi.org/10.1090/qam/216111
Abstract
The application of a generalized method of averaging to the problem of slightly damped librations in a perturbed one degree of freedom system is considered. The librations are those arising in the critical case in which the rate of change of the phase in the unperturbed system has a zero. The perturbed system is reduced to a form suitable for the application of the generalized method of averaging, and the first order averaged equation is derived for the slow rate of change of the amplitude of the librations, due to the damping.Keywords
This publication has 2 references indexed in Scilit:
- Asymptotic Methods in the Theory of Non-Linear OscillationsPhysics Today, 1963
- AVERAGING IN SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONSRussian Mathematical Surveys, 1962