Subharmonics of any order in case of non linear restoring force. Part I

Dem. G. Magiros

Chapter 12 in Selected Papers of Demetrios G. Magiros, 1985, pp 195-203 from Springer

Abstract: Abstract We discuss here the subharmonics of any order in the case of linear damping, sinusoidal external force, and cubic type restoring force, with coefficients not necessarily small. By using ideas of Van der Pol1, Mandelstam — Papalexi1, Andronow — Witt2, we get a proper transformation of the equation, and for its “steady state” and “transient” solutions use of the Poincare’s method for periodic solutions is made.

Keywords: Steady State; Periodic Solution; Fourier Series; Formal Solution; Steady State Solution (search for similar items in EconPapers)
Date: 1985
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DOI: 10.1007/978-94-009-5368-0_12

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