CHAOTIC DYNAMICS OF INTERACTING PENDULUMS

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Belyaev, K; Kuleshov, A; Tuchkova, N

CHARACTERISTICS OF OCEAN DYNAMICS IN THE SOUTH ATLANTIC BASED ON THE RESULTS OF NUMERICAL MODELING WITH DATA ASSIMILATION Journal Article

Mechanics, Materials Science & Engineering, 19 , 2019, ISSN: 2412-5954.

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Authors: S.O. Gladkov,    S.B. Bogdanova

ABSTRACT. As an example of two coplanar metal pendulums whose suspension points are at the same horizontal level with a fixed distance b from each other. The principle possibility of their synchronization is shown because of the accounting discount of two factors: 1. The effect of electromagnetic interaction between them. 2. The account of electromagnetic radiation which leads to the nonlinear attenuation. At the same time the principal point of the theory is full identity of the pendulums. A system of nonlinear dynamical equations was obtained and numerical estimate of synchronization time tsynchr  was given as well.

Keywords: electromagnetic interaction, electromagnetic radiation, synchronization

DOI 10.2412/mmse.35.79.433

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