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 …

This paper gives some new insights into a chaotic system. The considered system has only
one Lyapunov stable equilibrium and positive Lyapunov exponent in some certain …

The Kosambi–Cartan–Chern (KCC) theory represents a powerful mathematical method for
the investigation of the properties of dynamical systems. The KCC theory introduces a …

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 …

The stability of Hamiltonian systems with one degree of freedom is investigated from Jacobi
stability point of view (the KCC theory) and it is shown that the Jacobi stability conditions of …

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 …

The present work is devoted to giving new insights into a chaotic system with two stable
node-foci, which is named Yang-Chen system. Firstly, based on the global view of the …

We numerically solve the equations of motion (EOM) for two models of circular cosmic string
loops with windings in a simply connected internal space. Since the windings cannot be …

This paper proposes the controlled 3D Hindmarsh-Rose neuron model with hidden chaos.
We systematically study the internal characteristics of the kinetic generation mechanism of …