Stability of ordered equilibria

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:462

Article

Giacobbe, Andrea¹  Mulone, Giuseppe¹ 

[1] Univ Catania, Dipartimento Matemat & Informat, Viale A Doria 6, I-95125 Catania, Italy

关键词: Dynamical systems;    Ordered equilibria;    Linear instability;   

DOI  :  10.1016/j.jmaa.2018.02.040

来源: Elsevier

【 摘 要 】

In this article we give an elementary method to investigate linear stability of equilibria of finite dimensional dynamical systems. In particular, under general hypotheses, the equilibria can be organised in an ordered chain along which the determinant of the associated Jacobian matrix has alternating sign. We develop the idea in two and three-dimensional cases, and then give a result for general n-dimensional systems. We also apply the technique to some particular, well known dynamical systems. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free