On equilibrium configurations and their stability for a system of two coupled pendulums |
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Authors: | A. P. Evdokimenko |
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Affiliation: | 1.The Advanced Educational Scientific Center (Faculty)—Kolmogorov’s,Boarding School of Moscow State University,Moscow,Russia |
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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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