Fakulta matematiky, fyziky
a informatiky
Univerzity Komenského v Bratislave

Seminár z kvalitatívnej teórie diferenciálnych rovníc - Richard Kollár (12.4.2018)

vo štvrtok 12.4.2018 o 14:00 hod. v posluchárni M/223


05. 04. 2018 12.38 hod.
Od: Pavol Quittner

Prednášajúci: Richard Kollár

Názov prednášky: Spectral Stability in Reduced and Extended Systems

Termín: 12.4.2018, 14:00 hod., M/223


Abstrakt:
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.

Stránka seminára