A new method is described to study dynamical systems characterized by linear ordinary differential equations. The method is aimed at studying the time-varying properties of the resulting solution of the differential equation. In contrast to the standard methods where one solves the differential equation and then uses a time-frequency distribution, for example the Wigner distribution, to ascertain the time-frequency properties of the solution we show that one can obtain a differential equation for the Wigner distribution of the solution. We discuss a number of advantages for doing so.
Dynamics using the wigner distribution / Galleani, Lorenzo; Cohen, L.. - STAMPA. - 3:(2000), pp. 250-253. (Intervento presentato al convegno ICPR 2000 tenutosi a Barcelona, Spain nel September 3-8 2000) [10.1109/ICPR.2000.903532].
Dynamics using the wigner distribution
GALLEANI, Lorenzo;
2000
Abstract
A new method is described to study dynamical systems characterized by linear ordinary differential equations. The method is aimed at studying the time-varying properties of the resulting solution of the differential equation. In contrast to the standard methods where one solves the differential equation and then uses a time-frequency distribution, for example the Wigner distribution, to ascertain the time-frequency properties of the solution we show that one can obtain a differential equation for the Wigner distribution of the solution. We discuss a number of advantages for doing so.Pubblicazioni consigliate
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https://hdl.handle.net/11583/1663137
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