An instability theorem for nonlinear fractional differential systems

In this paper, we give a criterion on instability of an equilibrium of nonlinear Caputo fractional differential systems. More precisely, we prove that if the spectrum of the linearization has at least one eigenvalue in the sector $$\left\{\lambda\in\C\setminus\{0\}:|\arg{(\lambda)}|

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Bibliographic Details
Published in:arXiv.org 2016-12
Main Authors: Cong, N D, Doan, T S, Siegmund, S, Tuan, H T
Format: Article
Language:English
Subjects:
Eigenvalues
Nonlinear systems
Stability
Stability criteria
Online Access:Get full text
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Description
Summary:In this paper, we give a criterion on instability of an equilibrium of nonlinear Caputo fractional differential systems. More precisely, we prove that if the spectrum of the linearization has at least one eigenvalue in the sector $$\left\{\lambda\in\C\setminus\{0\}:|\arg{(\lambda)}|
ISSN:2331-8422
DOI:10.48550/arxiv.1603.07904