Accession Number : AD0772261

Title :   Sur la Recherche des Oscillations Complexes dans les Systemes Non-Lineaires Forces (Research on Complex Oscillations in Forced Nonlinear Systems),

Corporate Author : LAVAL UNIV QUEBEC DEPARTEMENT DE GENIE ELECTRIQUE

Personal Author(s) : Moreau,N. ; Le Pourhiet,A. ; Paquet,J. G.

Report Date : 07 FEB 1972

Pagination or Media Count : 6

Abstract : When a non-linear system is forced by a sinusoidal input, complex oscillations may appear. The present paper gives a method which allows, when linearizing about an equilibrium position, to determine in advance the existence of such oscillations. For that, the occurrence of the oscillations is related to the focal instability of synchronized solutions. A detailed study is presented for a Duffing equation: for which the authors predict and calculate theoretically the second-order subharmonic oscillation which appears experimentally. (Modified author abstract)

Descriptors :   *Control theory, Nonlinear systems, Nonlinear differential equations, Oscillation, Canada

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE