Jacobi Stability Analysis of Lü System
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Abstract
In this paper, we analyse the non-linear dynamics of the Lü system from the view point of Kosambi-Cartan-Chern (KCC) theory. We reformulate the Lü system as a set of two second order non-linear differential equations and obtain five KCC-invariants which express
the intrinsic geometric properties. The Jacobi stability of the Lü system at equilibrium points are investigated in terms of the eigenvalues of the deviation tensor. The equilibrium point is always Jacobi unstable, while the Jacobi stability of other equilibrium points , depends on the parameters values.
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1.
C. K. Yadav, M. K. Gupta. Jacobi Stability Analysis of Lü System. J. Int. Acad. Phys. Sci. [Internet]. 2019 Jun. 15 [cited 2025 May 5];23(2):123-42. Available from: https://www.iaps.org.in/journal/index.php/journaliaps/article/view/180
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