| dc.description.abstract | This project is at the interface between Analysis, Natural Sciences and Modeling Theory. It
deals with Floquet Theory (also re ered to as Floquet-Lyapunov theory) which is the main
tool of the theory of periodic ordinary differential systems of the form
dx
= A(t)x
dt
(1)
where A(t) is an n × n matrix with periodic coe cients, and x is an unknown column n-
vector function. Such systems arise in many physical and technical situations (Population
growth, Astronomy, Climatology, Seismology, Chaos, Turbulence, Industrial and nancial
growth, Natural resource shortening, Elasticity theory, Hydrodynamics, ... ).
Floquet Theory provides Floquet multipliers of (1), of which distribution in the complex
plane informs about the solvability and the stability of periodic solutions to (non)homogeneous
systems of differential equations. | en_US |
