Hopf bifurcation and hidden attractor of a modified Chua's equation
H Zhao, Y Lin, Y Dai - Nonlinear Dynamics, 2017 - Springer
In this paper, a modified Chua's equation is studied. Several issues, such as periodic
bifurcations and the dynamical structures of the system, are investigated either analytically …
bifurcations and the dynamical structures of the system, are investigated either analytically …
[PDF][PDF] Hopf bifurcation formulae and applications to the Genesio-Tesi system
B Sang - J. Nonlinear Funct. Anal, 2019 - researchgate.net
The purpose of this paper is to propose some formulae for Hopf bifurcation analysis, and
investigate applications to a chaotic system. We perform a substantial simplification for the …
investigate applications to a chaotic system. We perform a substantial simplification for the …
[PDF][PDF] Bautin bifurcations of a financial system
B Sang, B Huang - Electronic Journal of Qualitative Theory of …, 2017 - real.mtak.hu
This paper is concerned with the qualitative analysis of a financial system. We focus our
interest on the stability and cyclicity of the equilibria. Based on some previous results, some …
interest on the stability and cyclicity of the equilibria. Based on some previous results, some …
On the global boundedness of the Lü system
F Zhang, X Liao, G Zhang - Applied Mathematics and Computation, 2016 - Elsevier
In this paper, we are concerned with the open problem of the global boundedness of the Lü
system based on Lyapunov stability theory, which was proposed by Zhang and Mu (2012) …
system based on Lyapunov stability theory, which was proposed by Zhang and Mu (2012) …
Integrability analysis of the Shimizu–Morioka system
The aim of this paper is to give some new insights into the Shimizu–Morioka system x˙= y,
y˙= x− λ y− xz, z˙=− α z+ x 2, from the integrability point of view. Firstly, we propose a linear …
y˙= x− λ y− xz, z˙=− α z+ x 2, from the integrability point of view. Firstly, we propose a linear …
Hopf and zero-Hopf bifurcations in the Hindmarsh–Rose system
Hopf and zero-Hopf bifurcations in the Hindmarsh–Rose system | SpringerLink Skip to main
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When Shimizu–Morioka model meets Jacobi stability analysis: Detecting chaos
X Zhang - International Journal of Geometric Methods in Modern …, 2023 - World Scientific
This paper is concerned with the Jacobi stability of the Shimizu–Morioka model by using the
KCC-theory. First, by associating the nonlinear connection and Berwald connection, five …
KCC-theory. First, by associating the nonlinear connection and Berwald connection, five …
Bifurcation Analysis for the Generalized Nosé–Hoover System
This study investigates the generalized Nosé–Hoover system. The original version of the
system is a chaotic system designed to represent the interaction between a harmonic …
system is a chaotic system designed to represent the interaction between a harmonic …
Anti-control of Hopf bifurcation in the Shimizu–Morioka system using an explicit criterion
Y Yang, X Liao, T Dong - Nonlinear Dynamics, 2017 - Springer
We consider anti-control of Hopf bifurcation for the Shimizu–Morioka system by using an
explicit criterion. We first provide the two conditions for the existence of Hopf bifurcation, that …
explicit criterion. We first provide the two conditions for the existence of Hopf bifurcation, that …
Some new results for the generalized Lorenz system
F Zhang, X Liao, G Zhang - Qualitative theory of dynamical systems, 2017 - Springer
The bound of a chaotic dynamical system is important for chaos control, chaos
synchronization, estimating the dimensions of chaotic attractors, and other engineering …
synchronization, estimating the dimensions of chaotic attractors, and other engineering …