Title :
On equations with partial derivatives which correspond to invariant manifolds of mechanical systems
Author :
Irtegov, Valentin D.
Author_Institution :
Inst. of Syst. Dynamics & Control Theor., Russian Acad. of Sci., Irkutsk, Russia
Abstract :
The paper discusses the relationships between the equations of disturbed motion in the neighborhood of invariant manifolds of conservative systems and the systems of equations with partial derivatives, which have one and the same main part. The properties, which are common for the considered systems, are indicated. Some examples of application of such a relationship to the case of equations of rigid body dynamics are given.
Keywords :
dynamics; invariance; partial differential equations; conservative systems; disturbed motion; flat invariant manifolds; mechanical systems; partial derivative equations; rigid body dynamics; Argon; Control theory; Equations; Mechanical systems; Petroleum; Stability;
Conference_Titel :
Physics and Control, 2003. Proceedings. 2003 International Conference
Print_ISBN :
0-7803-7939-X
DOI :
10.1109/PHYCON.2003.1237061
