Bounded dynamics of finite PT-symmetric magnetoinductive arrays

Abstract

We examine the conditions for the existence of bounded dynamical phases for finite PT-symmetric arrays of split-ring resonators. The dimer (N=2), trimer (N=3) and pentamer (N=5) cases are solved in closed form, while for $N>5$ results were computed numerically for several gain/loss spatial distributions. It is found that the parameter stability window decreases monotonically with the size of the array.

Four double-column pages, six figures, submitted for publication

References in corpus (3)

• Experimental Study of Active LRC Circuits with PT-Symmetries
• Gain-Driven Discrete Breathers in PT-Symmetric Nonlinear Metamaterials
• Discrete dissipative localized modes in nonlinear magnetic metamaterials

Cited by in corpus (4)

• Flat bands and PT-symmetry in quasi-one-dimensional lattices
• $\mathcal{P}\mathcal{T}-$Symmetric Dimers with Time-Periodic Gain/Loss Function
• Fractionality and PT-symmetry in an electrical transmission line
• Interplay of fractionality and $\mathcal{P}\mathcal{T}$- symmetry on a 1D lattice