@article{ref1,
title="Locating the sets of exceptional points in dissipative systems and the  self-stability of bicycles",
journal="Entropy (Basel, Switzerland)",
year="2018",
author="Kirillov, Oleg N.",
volume="20",
number="7",
pages="e20070502-e20070502",
abstract="Sets in the parameter space corresponding to complex exceptional points (EP) have  high codimension, and by this reason, they are difficult objects for numerical  location. However, complex EPs play an important role in the problems of the  stability of dissipative systems, where they are frequently considered as precursors  to instability. We propose to locate the set of complex EPs using the fact that the  global minimum of the spectral abscissa of a polynomial is attained at the EP of the  highest possible order. Applying this approach to the problem of self-stabilization  of a bicycle, we find explicitly the EP sets that suggest scaling laws for the  design of robust bikes that agree with the design of the known experimental  machines.<p /> <p>Language: en</p>",
language="en",
issn="1099-4300",
doi="10.3390/e20070502",
url="http://dx.doi.org/10.3390/e20070502"
}