[PDF][PDF] On the stability and control of the Schimizu-Morioka system of dynamical equations

N Islam, HP Mazumdar, A Das - Diff. Geo. Dyn. Sys, 2009 - academia.edu
In this paper, the stability analysis of the Schimizu-Morioka system of dynamical equations is
performed by applying the Routh-Hurwitz criterion to the solutions of the system near to …

Stability for manifolds of equilibrium states of generalized Hamiltonian systems

WA Jiang, SK Luo - Meccanica, 2012 - Springer
For a generalized Hamiltonian system, stability for the manifolds of equilibrium states is
presented based on Lyapunov's stability theories. Equilibrium equations, perturbation …

Stability for manifolds of equilibrium state of generalized Hamiltonian system with additional terms

L Li, W Peng, Y Xu, S Luo - Nonlinear Dynamics, 2013 - Springer
For a generalized Hamiltonian system with additional terms, stability for the manifolds of the
equilibrium state is presented. Equilibrium equations, disturbance equations and the first …

A geometrical study of Wang-Chen system in view of KCC theory

MK Gupta, CK Yadav, AK Gupta - TWMS Journal of Applied …, 2020 - belgelik.isikun.edu.tr
The present paper discuss the stability of Wang-Chen system from the approach of KCC
theory. we show that the system is Jacobi unstable for any value of parameter where as it is …

[PDF][PDF] Non-existence of homoclinic orbits and global asymptotic stability of FitzHugh-Nagumo system

M Hayashi - Vietnam J. Math, 1999 - math.ac.vn
Non-Existence of Homoclinic Orbits and Global Asymptotic Stability of FitzHugh-Nagumo
System Page 1 Vetnam Journal of Mathematics 27:4 (1999) 335-343 V ii etm ar tnm / ror ur rrm …

Dynamical analysis, feedback control and synchronization of Liu dynamical system

AE Matouk - Nonlinear Analysis: Theory, Methods & Applications, 2008 - Elsevier
Dynamical behaviors of Liu system is studied using Routh–Hurwitz criteria, Center manifold
theorem and Hopf bifurcation theorem. Periodic solutions and their stabilities about the …

[PDF][PDF] The stability analysis of the shimizu-morioka system with Hopf bifurcation

HR Salih - Journal of Kirkuk University-Scientific Studies, 2011 - iasj.net
The Stability Analysis of the Shimizu–Morioka System with Hopf Bifurcation Page 1 Journal of
Kirkuk University – Scientific Studies, vol.6, No.2, 2011 184 The Stability Analysis of the …

Feedback control methods for stabilizing unstable equilibrium points in a new chaotic system

C Zhu - Nonlinear Analysis: Theory, Methods & Applications, 2009 - Elsevier
This paper studies the stabilization of unstable equilibrium points in a new chaotic system.
Three different methods, the dislocated feedback control method, the enhancing feedback …

Jacobi stability analysis of Rössler system

MK Gupta, CK Yadav - International Journal of Bifurcation and …, 2017 - World Scientific
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 …

Jacobi stability analysis of Rikitake system

MK Gupta, CK Yadav - … Journal of Geometric Methods in Modern …, 2016 - World Scientific
We study the Rikitake system through the method of differential geometry, ie Kosambi–
Cartan–Chern (KCC) theory for Jacobi stability analysis. For applying KCC theory we …