In this section we shall discuss some methods, originally used in celestial mechanics, which were applied to special technical problems first by van der Pol. Krylov and Bogoliubov, and many others, extended and generalized these methods. (See the survey article by Y. A. Mitropolsky, Averaging method in nonlinear mechanics, Internat. J. of Nonlin. Mech. 2 (1967) 69–95).
KeywordsAsymptotic Method Celestial Mechanic Nonlinear Mechanic High Order Approximation Pulsate Force
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