@inproceedings{6abd5afefb0548c887311ee91b37b2ef,
title = "Stability Analysis of a Differential Model for Quasi-Periodic Plasma Perturbations",
abstract = "This paper deals with the stability of a differential model for quasi-periodic plasma perturbations. First, we derive the linear stability conditions on the parameters of the differential model by using symbolic computation of solving semi-algebraic systems. Then, we analyze the Jacobi stability of the quasi-periodic plasma perturbations by using the Kosambi–Cartan–Chern (KCC) theory. We reformulate the differential model as a set of two second-order nonlinear differential equations and explicitly obtain the geometric invariants, as well as the deviation curvature tensor. The Jacobi stability of the fixed points of the system is detected by using computer algebra methods. Furthermore, the dynamic behavior of the components of the deviation vector near the fixed points is also discussed. The obtained results show that all the fixed points of the differential model are always Jacobi unstable, while the linear stability of the fixed points depends on the values of the parameters. Some examples and numerical simulations are presented to verify the established results.",
keywords = "Differential model, Jacobi stability, KCC theory, Linear stability, Symbolic computation",
author = "Le Deng and Bo Huang and Wei Niu and Jichao Song and Xinyu Wang",
note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive license to Springer Nature Switzerland AG 2024.; 26th International Workshop on Computer Algebra in Scientific Computing, CASC 2024 ; Conference date: 02-09-2024 Through 06-09-2024",
year = "2024",
doi = "10.1007/978-3-031-69070-9\_8",
language = "英语",
isbn = "9783031690693",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Science and Business Media Deutschland GmbH",
pages = "120--139",
editor = "Fran{\c c}ois Boulier and Chenqi Mou and Sadykov, \{Timur M.\} and Vorozhtsov, \{Evgenii V.\}",
booktitle = "Computer Algebra in Scientific Computing - 26th International Workshop, CASC 2024, Proceedings",
address = "德国",
}