Dynamics of cubic-quintic nonlinear PT-symmetry mechanical oscillators

In this paper, we investigate the dynamics of two mechanical coupled oscillators (MCO) with Parity -Time (PT)-symmetry i.e., one has gain and the other has an equal and opposite amount of loss. In the linear case, the eigenmodes and breaking points were determined. In the nonlinear case, the breaking point for soft cubic or quintic potential obtained numerically was also found analytically with perfect agreement. However, instead of the breaking point, for the hard cubic or quintic potential, it is noted a transition toward a regime of periodic or quasi-periodic stable oscillation with energy transfer from the loss oscillator to the gain oscillator. This latter result suggests very important applications within the framework of the optical cavities and waveguides.& COPY; 2023 Elsevier B.V. All rights reserved.

Automated summary

In this paper, the dynamics of mechanical coupled oscillators (MCO) with Parity-Time (PT) symmetry, exhibiting gain and loss, are investigated. The eigenmodes and breaking points in the linear case are determined, and in the nonlinear case, the breaking point for soft cubic or quintic potential is found numerically and analytically. However, for the hard cubic or quintic potential, instead of a breaking point, there is a transition to a regime of stable oscillation with energy transfer from the loss oscillator to the gain oscillator. This result suggests important applications in optical cavities and waveguides.