Locating the sets of exceptional points in dissipative systems and the self-stability of bicycles

Research output: Contribution to journalArticlepeer-review

5 Downloads (Pure)

Abstract

Sets in the parameter space corresponding to complex exceptional points 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 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.
Original languageEnglish
Article number502
Number of pages16
JournalEntropy
Volume20
Issue number7
DOIs
Publication statusPublished - 1 Jul 2018

Fingerprint

Dive into the research topics of 'Locating the sets of exceptional points in dissipative systems and the self-stability of bicycles'. Together they form a unique fingerprint.

Cite this