Publications Repository - Helmholtz-Zentrum Dresden-Rossendorf
1 PublicationPT-symmetry, indefinite damping and dissipation-induced instabilities
Kirillov, O.
With perfectly balanced gain and loss, dynamical systems with indefinite damping can obey the exact PT-symmetry being marginally stable with a pure imaginary spectrum. At an exceptional point where the symmetry is spontaneously broken, the stability is lost via passing through a non-semi-simple 1: 1 resonance. In the parameter space of a general dissipative system, marginally stable PT-symmetric ones occupy singularities on the boundary of the asymptotic stability. To observe how the singular surface governs dissipation-induced destabilization of the PT-symmetric system when gain and loss are not matched, an extension of recent experiments with PT-symmetric LRC circuits is proposed
Keywords: PT-symmetry; indefinite damping; stability; dissipation-induced instabilities; modulational instability
-
Physics Letters A 376(2012)15, 1244-1249
DOI: 10.1016/j.physleta.2012.02.055
Cited 12 times in Scopus
Permalink: https://www.hzdr.de/publications/Publ-17075
Publ.-Id: 17075