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On interaction of non-linear oscillations

โœ Scribed by N. Minorsky

Publisher
Elsevier Science
Year
1953
Tongue
English
Weight
1002 KB
Volume
256
Category
Article
ISSN
0016-0032

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โœฆ Synopsis

This paper investigates the question of interaction of non-linear oscillations. In Part I some general considerations regarding the existence, stability and certain topological rules of selection between several oscillations are outlined. In Part II these results are applied to the differential equation ~-e(x 2 -1)~ -1-[i + (a -cx 2) cos 2t]x = 0 investigated by the stroboscopic method as far as the first approximation is concerned. The problem of interaction of oscillations is studied in the general case and in some special cases. * Prepared under Contract N6-onr-251 Task Order 2 (NR-041-943) for Air Research and Development Command and Office of Naval Research.

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