Bifurcation control: theories, methods, and applications

G Chen, JL Moiola, HO Wang - International Journal of Bifurcation …, 2000 - World Scientific
Bifurcation control deals with modification of bifurcation characteristics of a parameterized
nonlinear system by a designed control input. Typical bifurcation control objectives include …

Stability and Hopf bifurcation of controlled complex networks model with two delays

J Cao, L Guerrini, Z Cheng - Applied Mathematics and Computation, 2019 - Elsevier
This paper considers Hopf bifurcation of complex network with two independent delays. By
analyzing the eigenvalue equations, the local stability of the system is studied. Taking delay …

Codimension-two bifurcations and bifurcation controls in a discrete biological system with weak Allee effect

L Zhang, Y Xu, G Liao - International Journal of Bifurcation and …, 2022 - World Scientific
In this paper, the codimension-two bifurcations and bifurcation controls of a discrete
predatory system with weak Allee effect on prey are investigated. After analyzing the …

Controlling the onset of Hopf bifurcation in the Hodgkin-Huxley model

Y Xie, L Chen, YM Kang, K Aihara - … Review E—Statistical, Nonlinear, and Soft …, 2008 - APS
It is a challenging problem to establish safe and simple therapeutic methods for various
complicated diseases of the nervous system, particularly dynamical diseases such as …

Multivariable harmonic balance for central pattern generators

T Iwasaki - Automatica, 2008 - Elsevier
The central pattern generator (CPG) is a nonlinear oscillator formed by a group of neurons,
providing a fundamental control mechanism underlying rhythmic movements in animal …

Bifurcation control of bounded noise excited Duffing oscillator by a weakly fractional-order PI^ λ D^ μ PI λ D μ feedback controller

L Chen, T Zhao, W Li, J Zhao - Nonlinear Dynamics, 2016 - Springer
An innovative bifurcation control method by using a weakly fractional-order PI^ λ D^ μ PI λ D
μ feedback controller is proposed to eliminate the stochastic jump in the forced response for …

Analysis and control of the bifurcation of Hodgkin–Huxley model

J Wang, L Chen, X Fei - Chaos, Solitons & Fractals, 2007 - Elsevier
The Hodgkin–Huxley (HH) equations are parameterized by a number of parameters and
show a variety of qualitatively different behaviors depending on the various parameters. This …

Bifurcation-based fractional-order PI λ D μ controller design approach for nonlinear chaotic systems

K Rabah, S Ladaci, M Lashab - Frontiers of Information Technology & …, 2018 - Springer
We propose a novel approach called the robust fractional-order proportional-integral-
derivative (FOPID) controller, to stabilize a perturbed nonlinear chaotic system on one of its …

Controlling chaos and bifurcations of SMIB power system experiencing SSR phenomenon using SSSC

MS Widyan - International Journal of Electrical Power & Energy …, 2013 - Elsevier
This paper presents the effect of Static Synchronous Series Compensation (SSSC) on the
bifurcations of heavily loaded Single Machine Infinite Bus (SMIB) power system …

Hybrid control of Hopf bifurcation in complex networks with delays

Z Cheng, J Cao - Neurocomputing, 2014 - Elsevier
In this paper, the problem of Hopf bifurcation control for a complex network model with time
delays is considered by using a new hybrid control strategy, in which state feedback and …