A Normal Form for Systems of Implicit Ordinary Differential Equations
Sprache des Vortragstitels:
Englisch
Original Tagungtitel:
Jahrestagung GAMM 2002
Sprache des Tagungstitel:
Englisch
Original Kurzfassung:
This contribution deals with the application of computer algebra based methods to the analysis of dynamic systems described by implicit ordinary differential equations. This type of system defines a submanifold of a certan jet space. We solve the problem whether this submanifold admits a parametrization by an explicit system, i.e. any solution of the original system is a solution of the explicit one and vice versa. Since this approach requires the formal integrability of the implicit system, a sketch for the computation of the formally integrable system is presented.
Sprache der Kurzfassung:
Englisch
Englischer Vortragstitel:
A Normal Form for Systems of Implicit Ordinary Differential Equations
Englischer Tagungstitel:
Jahrestagung GAMM 2002
Englische Kurzfassung:
This contribution deals with the application of computer algebra based methods to the analysis of dynamic systems described by implicit ordinary differential equations. This type of system defines a submanifold of a certan jet space. We solve the problem whether this submanifold admits a parametrization by an explicit system, i.e. any solution of the original system is a solution of the explicit one and vice versa. Since this approach requires the formal integrability of the implicit system, a sketch for the computation of the formally integrable system is presented.