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.

About the authors

A. P. Evdokimenko

The Advanced Educational Scientific Center (Faculty)—Kolmogorov’s

Author for correspondence.
Email: artem.evdokimenko@gmail.com
Russian Federation, ul. Kremenchugskaya 11, Moscow, 121357

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