Nonlinear Anti-(Parity-Time) Symmetric Dimer

Nonlinear Anti-(Parity-Time) Symmetric Dimer

Blog Article

In the present work we propose a nonlinear anti-PT-symmetric dimer, that at the linear level has been experimentally created in the realm of electric circuit resonators.We find four families of solutions, the so-called upper and lower branches, both in a symmetric and in an asymmetric (symmetry-broken) form.We unveil analytically and confirm numerically the critical thresholds for the existence of such branches and explore the Gift Set bifurcations (such as saddle-node ones) that delimit their existence, as well as transcritical ones that lead to their potential exchange of stability.We find Floor - Equipment that out of the four relevant branches, only one, the upper symmetric branch, corresponds to a spectrally and dynamically robust solution.

We subsequently leverage detailed direct numerical computations in order to explore the dynamics of the different states, corroborating our spectral analysis results.