Order reduction of systems of differential equations in problems of mechanics
Abstract
The possibility of reducing the order of systems of differential equations with singular perturbations is considered with reference to periodic motions in flight dynamics. Sufficient conditions for the transition to a lesserorder system over an infinite time period are formulated. A theorem concerning the stability of a linear system with slowly varying coefficients is derived as a consequence.
 Publication:

Moskovskii Universitet Vestnik Seriia Matematika Mekhanika
 Pub Date:
 April 1986
 Bibcode:
 1986MVSMM.......56B
 Keywords:

 Differential Equations;
 Equations Of Motion;
 Flight Mechanics;
 Perturbation Theory;
 Singularity (Mathematics);
 Computational Fluid Dynamics;
 Linear Systems;
 Systems Stability;
 Physics (General)