This paper considers the stability of a one-dimensional system during a catastrophic shift
described by the Hill function. Because the shifting process goes through a nonequilibrium …

In this paper, we make a thorough inquiry about the Jacobi stability of 5D self-exciting
homopolar disc dynamo system on the basis of differential geometric methods namely …

We analyze the stability of the geodesic curves in the geometry of the Gibbons–Maeda–
Garfinkle–Horowitz–Strominger black hole, describing the space time of a charged black …

In this paper, Rössler system has been studied by using differential geometry method ie with
KCC-theory. We obtained the deviation tensor and its eigenvalue which determine the …

In this paper, we consider an autonomous two-dimensional ODE Kolmogorov-type system
with three parameters, which is a particular system of the general predator–prey systems …

We discuss the propagation of light in the C-metric. We discover that null geodesics admit
circular orbits only for a certain family of orbital cones. Explicit analytic formulae are derived …

Little seems to be known about the study of the chaotic system with only Lyapunov stable
equilibria from the perspective of differential geometry. Therefore, this paper presents Jacobi …

By reformulating the circuit system of Lü as a set of two second order differential equations,
we investigate the nonlinear dynamics of Lü's circuit system from the Jacobi stability point of …

The classical theory of Kosambi–Cartan–Chern (KCC) developed in differential geometry
provides a powerful method for analyzing the behaviors of dynamical systems. In the KCC …

In this paper, we geometrically investigate the Rabinovich-Fabrikant system from the view
point of KCC-theory in Finsler geometry by converting first order system to second order …