About the Jacobi Stability of a Generalized Hopf–Langford System through the Kosambi–Cartan–Chern Geometric Theory
In this work, we will consider an autonomous three-dimensional quadratic system of first-
order ordinary differential equations, with five parameters and with symmetry relative to the z …
order ordinary differential equations, with five parameters and with symmetry relative to the z …
Dynamics and Jacobi stability of the controlled 3D Hindmarsh-Rose neuron model
Q Yang, X Lu - Discrete and Continuous Dynamical Systems-B, 2024 - aimsciences.org
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 …
We systematically study the internal characteristics of the kinetic generation mechanism of …
KCC Theory of the Oregonator Model for Belousov-Zhabotinsky Reaction
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 …
perspective of KCC theory has been investigated. In order to reduce the complexity of the …
Jacobi stability, Hamilton energy and the route to hidden attractors in the 3D Jerk systems with unique Lyapunov stable equilibrium
X Lu, Q Yang - Physica D: Nonlinear Phenomena, 2024 - Elsevier
This paper is devoted to reveal the generation mechanism of hidden attractors of the 3D Jerk
systems with unique Lyapunov stable equilibrium. In the light of the deviation curvature …
systems with unique Lyapunov stable equilibrium. In the light of the deviation curvature …
Qualitative geometric analysis of traveling wave solutions of the modified equal width Burgers equation
Y Liu, B Chen, X Huang, L Ye… - Mathematical Methods in …, 2022 - Wiley Online Library
This paper devotes to the qualitative geometric analysis of the traveling wave solutions of
MEW‐Burgers wave equation. Firstly, MEW‐Burgers equation is transformed into an …
MEW‐Burgers wave equation. Firstly, MEW‐Burgers equation is transformed into an …
Homoclinic Chaos in a Four-Dimensional Manifold Piecewise Linear System
Q Huang, Y Liu, C Li, A Liu - International Journal of Bifurcation and …, 2022 - World Scientific
The existence of homoclinic orbits is discussed analytically for a class of four-dimensional
manifold piecewise linear systems with one switching manifold. An interesting phenomenon …
manifold piecewise linear systems with one switching manifold. An interesting phenomenon …
KCC theory for a type of nonlinear damped SD oscillators
R Li, Y Liu, M Wang - International Journal of Geometric …, 2024 - ui.adsabs.harvard.edu
Smooth and discontinuous (SD) oscillators are the nonlinear models that will exhibit SD
dynamics due to continuous variation of the smooth parameter. Kosambi-Cartan-Chern …
dynamics due to continuous variation of the smooth parameter. Kosambi-Cartan-Chern …
Geometric analysis and onset of chaos for the resonant nonlinear Schrödinger system
T Lai, C Feng, Y Liu, A Liu - The European Physical Journal Special Topics, 2022 - Springer
In this paper, Jacobi stability of a resonant nonlinear Schrödinger (RNS) system is studied
by the KCC theory, which is also called differential geometric method. The RNS system is …
by the KCC theory, which is also called differential geometric method. The RNS system is …