The Influence of PT Symmetry Breaking on the Chaotic Properties of the Coupled Magnetic Pendulums System |
| A. Szewczyka, W. Leońskia, R. Szczęśniakb, c
aQuantum Optics and Engineering Division, Faculty of Physics and Astronomy, University of Zielona Góra, Prof. Z. Szafrana 4a, 65-516 Zielona Góra, Poland bDivision of Physics, Częstochowa University of Technology, Armii Krajowej Ave. 19, 42-200 Częstochowa, Poland cDivision of Theoretical Physics, Jan Długosz University in Częstochowa, Armii Krajowej Ave. 13/15, 42-200 Częstochowa, Poland |
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| The influence of the PT-symmetry breaking on the chaotic properties of the coupled magnetic pendulums is investigated. The PT-symmetric system is described by the classical approach using coupled second-order nonlinear differential equations. Using the damping coefficient A as the control parameter for the PT-symmetry and evaluating the two-dimensional basin plot of the pendulum's motion, the fractal of measure for unbroken PT-symmetry is calculated to be Df ≃ 2 and changes to Df ≃ 1.25 for broken symmetry. |
DOI:10.12693/APhysPolA.142.52 topics: parity-time PT symmetry |