Mode competition in a system of two parametrically driven pendulums with nonlinear coupling

E.J. Banning, J.P. van der Weele, J.C. Ross and M.M. Kettenis

Physica A: Statistical Mechanics and its Applications, 1997, vol. 245, issue 1, 49-98

Abstract: This paper is part three in a series on the dynamics of two coupled, parametrically driven pendulums. In the previous parts Banning and van der Weele (1995) and Banning et al. (1997) studied the case of linear coupling; the present paper deals with the changes brought on by the inclusion of a nonlinear (third-order) term in the coupling. Special attention will be given to the phenomenon of mode competition.

Keywords: Mode competition; Parametric resonance; Center manifold reduction; Symmetry breaking; Pendulums (search for similar items in EconPapers)
Date: 1997
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:245:y:1997:i:1:p:49-98

DOI: 10.1016/S0378-4371(97)00275-6

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