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 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 …

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 …

The behavior of the simplest realistic Oregonator model of the BZ-reaction from the
perspective of KCC theory has been investigated. In order to reduce the complexity of the …

This work introduces a three‐dimensional, highly nonlinear quadratic oscillator with no
linear terms in its equations. Most of the quadratic ordinary differential equations (ODEs) …

In this paper, Jacobi stability of a segmented disc dynamo system is geometrically
investigated from viewpoint of Kosambi–Cartan–Chern (KCC) theory in Finsler geometry …

Little is known about bifurcations in two-dimensional (2D) differential systems from the
viewpoint of Kosambi–Cartan–Chern (KCC) theory. Based on the KCC geometric invariants …

In this paper, the Jacobi stability of a two-degree-of-freedom mechanical system is studied
by the innovative application of KCC-theory, namely differential geometric methods. We …

In this paper, we analytically and geometrically investigate the complexity of Maxwell–Bloch
system by giving new insight. In the first place, the existence of homoclinic orbits is …