vbid/9783540457619

Description

This book presents a rational scheme of analysis for the periodic and quasi-periodic solution of a broad class of problems within technical and celestial mechanics. It develops steps for the determination of sufficiently general averaged equations of motion, which have a clear physical interpretation and are valid for a broad class of weak-interaction problems in mechanics. The criteria of stability regarding stationary solutions of these equations are derived explicitly and correspond to the extremum of a special “potential” function. Much consideration is given to applications in vibrational technology, electrical engineering and quantum mechanics, and�a number of results are presented�that are immediately�useful in engineering practice. The book is intended for mechanical engineers, physicists, as well as applied mathematicians specializing in the field of ordinary differential equations.Typham this is the title: Dynamics of Synchronising Systems