Application of Jacobi stability analysis to a first-order dynamical system: relation between nonlinearizability of one-dimensional differential equation and Jacobi stable region

In this study, we discuss Jacobi stability in equilibrium and nonequilibrium regions for a first-order one-dimensional system using deviation curvatures. The deviation curvature is calculated using the Kosambi-Cartan-Chern theory, which is applied to second-order differential equations. The deviatio...

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Bibliographic Details
Main Authors: Yuma Hirakui, Takahiro Yajima
Format: Article
Language:English
Published: IOP Publishing 2024-01-01
Series:Journal of Physics Communications
Subjects:
Online Access:https://doi.org/10.1088/2399-6528/ad2b8c

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