The Structure of The Secular System in Nonlinear Oscillations

Details The Structure of The Secular System in Nonlinear Oscillations The Structure of The Secular System in Nonlinear Oscillations

Sep 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975cemec..12..139k&link_type=abstract

Celestial Mechanics, Volume 12, Issue 2, pp.139-153

Physics

1

Scientific paper

If the method of averages is applied to a nearly integrable system of differential equations the so-called secular system is obtained. In the present paper we study the structure of the secular system for a large class of problems. We especially aim at establishing sufficient conditions for the secular system to be solvable by means of elementary functions.

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