Experimental dynamical encircling of an exceptional point in coupled pendulums
Résumé
Exceptional points (EPs) correspond to specific values of the system parameters that yield defective eigenvalues. The concept is demonstrated experimentally in the case of a simple mechanical system consisting of two coupled linearized pendulums. The latter is designed and instrumented in order to allow the encircling of an EP: the modulation of both the mass and stiffness matrices is achieved by controlling the length of one pendulum, whereas the damping is controlled by using eddy current brake mechanisms. The time evolution of the state vector, identified with the help of the extended Kalman filter, is described using the instantaneous modal basis. This allows one to quantify and observe mode coupling mechanisms, non-adiabatic effects and chiral behaviour. The paper ends with a numerical study, via the analysis of the monodromy matrix and the multiple-scale approach, which illustrates both the effect on chirality of the period of encircling and the presence of an EP in the loop.
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Est complété par 10.5281/zenodo.15299252 Jeu de données Even, N., Nennig, B., Lefebvre, G., & Perrey-Debain, E. (2025). Data used in ‘Experimental dynamical encircling of an exceptional point in coupled pendulums’ (Version 1.0.0) [Dataset]. Zenodo. https://doi.org/10.5281/ZENODO.15299252
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