On a variant of the asymptotic procedure (for weakly nonlinear autonomous systems)

Authors

  • Nguyen Van Dinh Institute of Mechanics

DOI:

https://doi.org/10.15625/0866-7136/25/2/6580

Abstract

As well-known, usually, in the asymptotic (Krylov-Bogoliubov-Mitropolski) method, the full amplitude (a) of the first harmonic is used as variable in asymptotic expansions [1]. In the first approximation, the equations of stationary oscillations are rather simple, however, in higher approximation, these equations often become very complicated, especially when initial conditions are imposed.

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Published

30-06-2003

How to Cite

Dinh, N. V. (2003). On a variant of the asymptotic procedure (for weakly nonlinear autonomous systems). Vietnam Journal of Mechanics, 25(2), 77–84. https://doi.org/10.15625/0866-7136/25/2/6580

Issue

Section

Research Paper