Seminár z kvalitatívnej teórie diferenciálnych rovníc - Richard Kollár (12.4.2018)
vo štvrtok 12.4.2018 o 14:00 hod. v posluchárni M/223
Od: Pavol Quittner
Prednášajúci: Richard Kollár
Názov prednášky: Spectral Stability in Reduced and Extended Systems
Termín: 12.4.2018, 14:00 hod., M/223
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.