Seminar 12.4.2018: Richard Kollar

Seminar on Qualitative Theory of Differential Equations
organized by P.Quittner, M.Fila and R.Kollar

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Seminar 12.4.2018: Richard Kollar

Postby quittner » Thu Apr 05, 2018 11:25 am

Seminár z kvalitatívnej teórie diferenciálnych rovníc
Seminar on Qualitative Theory of Differential Equations

Thursday 12.4.2018 at 14:00 Lecture room M-223

Richard Kollár (KAMŠ FMFI UK):
Spectral Stability in Reduced and Extended Systems

Spectral stability indicates expected short time evolution
of a solution perturbed initially from a relative equilibrium state.
It typically determines also nonlinear stability of the solution
but any such result is always limited
to the exact algebraic formulation of the system.
However, governing equations are often only an approximation
of the real system that may involve external feedbacks.
We show how is the spectral stability of a solution in the reduced system
related to the spectral stability in a full (extended) system.
As a case study we consider systems of ODEs (quasi-steady-state reduction)
and their general embedding of into a larger system.
A connection is drawn with geometric Krein signature that surprisingly
captures spectral properties under such extensions.
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