The Influence of PT Symmetry Breaking on the Chaotic Properties of the Coupled Magnetic Pendulums System

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 D-f approximate to 2 and changes to D-f approximate to 1.25 for broken symmetry.

Automated summary

This study investigates the influence of PT-symmetry breaking on the chaotic properties of coupled magnetic pendulums. The PT-symmetric system is described using classical approach with coupled second-order nonlinear differential equations. By using the damping coefficient A as the control parameter for 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 approximately 2, while it changes to approximately 1.25 for broken symmetry.