Bi-$\mathcal{P}\mathcal{T}$ symmetry in nonlinearly damped dynamical systems and tailoring $\mathcal{P}\mathcal{T}$ regions with position dependent loss-gain profiles

S. Karthiga, V. K. Chandrasekar, M. Senthilvelan +1

We investigate the remarkable role of position dependent damping in determining the parametric regions of symmetry breaking in nonlinear $\mathcal{P}\mathcal{T}$-symmetric systems. We illustrate…