Sufficient conditions for instability of equilibrium for circulatory and gyroscopic systems

PHYSICA D-NONLINEAR PHENOMENA

卷:241

Article

Birtea, Petre¹  Casu, Ioan¹  Comanescu, Dan¹ 

[1] W Univ Timisoara, Dept Math, Timisoara 300223, Romania

关键词: Instability;    Circulatory system;    Gyroscopic conservative system;   

DOI  :  10.1016/j.physd.2012.07.002

来源: Elsevier

【 摘 要 】

We give a method which generates sufficient conditions for instability of equilibria for circulatory and gyroscopic conservative systems. The method is based on the Gramians of a set of vectors whose coordinates are powers of the roots of the characteristic polynomial for the studied systems. New instability results are obtained for general circulatory and gyroscopic conservative systems. We also apply this method for studying the instability of motion for a charged particle in a stationary electromagnetic field. (C) 2012 Elsevier B.V. All rights reserved.

【 授权许可】

Free