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On equilibrium configurations and their stability for a system of two coupled pendulums

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Abstract

A mechanical system consisting of two identical mathematical pendulums connected by a linear spring is considered under the assumption that the pendulum suspension points lie on a horizontal straight line and the system is in a homogeneous gravitational field. The equilibrium configurations of this mechanical system and their stability are studied. The results are represented in the form of bifurcation diagrams.

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Correspondence to A. P. Evdokimenko.

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Original Russian Text © A.P. Evdokimenko, 2017, published in Izvestiya Akademii Nauk, Mekhanika Tverdogo Tela, 2017, No. 3, pp. 45–58.

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Evdokimenko, A.P. On equilibrium configurations and their stability for a system of two coupled pendulums. Mech. Solids 52, 266–277 (2017). https://doi.org/10.3103/S0025654417030049

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  • DOI: https://doi.org/10.3103/S0025654417030049

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