Stabilizing and destabilizing perturbations of PT-symmetric indefinitely damped systems

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

Abstract

Eigenvalues of a potential dynamical system with damping forces that are described by an indefinite real symmetric matrix can behave as those of a Hamiltonian system when gain and loss are in a perfect balance. This happens when the indefinitely damped system obeys parity–time (PT) symmetry. How do pure imaginary eigenvalues of a stable PT-symmetric indefinitely damped system behave when variation in the damping and potential forces destroys the symmetry? We establish that it is essentially the tangent cone to the stability domain at the exceptional point corresponding to the Whitney umbrella singularity on the stability boundary that manages transfer of instability between modes.
Original languageEnglish
Pages (from-to)20120051-20120051
JournalPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume371
Issue number1989
DOIs
Publication statusPublished - 18 Mar 2013

Fingerprint

Dive into the research topics of 'Stabilizing and destabilizing perturbations of PT-symmetric indefinitely damped systems'. Together they form a unique fingerprint.

Cite this