Derogatory exceptional points in non-Hermitian systems can be converted to non-derogatory exceptional points of the same order by infinitesimal perturbations, forming hierarchies of degeneracy structures both with and without pseudo-Hermitian symmetry.
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An algebraic framework systematically characterizes the asymptotic dispersion of all multi-block non-Hermitian degeneracies, including n-bolical points and exceptional points of various orders.
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Converting non-Hermitian degeneracies of any order: Hierarchies of exceptional points and degeneracy manifolds
Derogatory exceptional points in non-Hermitian systems can be converted to non-derogatory exceptional points of the same order by infinitesimal perturbations, forming hierarchies of degeneracy structures both with and without pseudo-Hermitian symmetry.
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Characterizing all non-Hermitian degeneracies using algebraic approaches: Defectiveness and asymptotic behavior
An algebraic framework systematically characterizes the asymptotic dispersion of all multi-block non-Hermitian degeneracies, including n-bolical points and exceptional points of various orders.