86 citations · 169 across the 12 of their papers we have counts for
12 papers
Equivariant Hopf Bifurcation in a Class of Partial Functional Differential Equations on a Circular Domain
Yaqi Chen, Xianyi Zeng, Ben Niu
Circular domains frequently appear in the fields of ecology, biology and chemistry. In this paper, we investigate the equivariant Hopf bifurcation of partial functional differentia…
Global dynamics in a predator-prey model with cooperative hunting and Allee effect and bifurcation induced by diffusion and delays
Yanfei Du, Ben Niu, Junjie Wei
We consider the local bifurcation and global dynamics of a predator-prey model with cooperative hunting and Allee effect. For the model with weak cooperation, we prove the existenc…
Ott-Antonsen reduction for the non-Abelian Kuramoto model on the 3-sphere
Vladimir Jacimovic, Ben Niu
We are interested in low-dimensional dynamics in an ensemble of coupled nonidentical generalized oscillators on the 3-sphere. The system of governing equations for such an ensemble…
Two delays induce Hopf bifurcation and double Hopf bifurcation in a diffusive Leslie-Gower predator-prey system
Yanfei Du, Ben Niu, Junjie Wei
In this paper, the dynamics of a modified Leslie-Gower predator-prey system with two delays and diffusion is considered. By calculating stability switching curves, the stability of…
Hopf-Hopf bifurcation and chaotic attractors in a delayed diffusive predator-prey model with fear effect
Daifeng Duan, Ben Niu, Junjie Wei
We investigate a diffusive predator-prey model by incorporating the fear effect into prey population, since the fear of predators could visibly reduce the reproduction of prey. By…
Bautin bifurcation in delayed reaction-diffusion systems with application to the Segel-Jackson model
Yuxiao Guo, Ben Niu
In this paper, we present an algorithm for deriving the normal forms of Bautin bifurcations in reaction-diffusion systems with time delays and Neumann boundary conditions. On the c…
Diffusion-induced spatio-temporal oscillations in an epidemic model with two delays
Yanfei Du, Ben Niu, Junjie Wei
We investigate a diffusive, stage-structured epidemic model with the maturation delay and freely-moving delay. Choosing delays and diffusive rates as bifurcation parameters, the on…
Double Hopf bifurcation in delayed reaction-diffusion systems
Yanfei Du, Ben Niu, Yuxiao Guo +1
Double Hopf bifurcation analysis can be used to reveal some complicated dynamical behavior in a dynamical system, such as the existence or coexistence of periodic orbits, quasi-per…
Codimension-two Bifurcations Induce Hysteresis Behavior and Multistabilities in Delay-coupled Kuramoto Oscillators
Ben Niu
Hysteresis phenomena and multistability play crucial roles in the dynamics of coupled oscillators, which are now interpreted from the point of view of codimension-two bifurcations.…
Multiple-parameter bifurcation analysis in a Kuramoto model with time delay and distributed shear
Ben Niu, Jiaming Zhang, Junjie Wei
In this paper, time delay effect and distributed shear are considered in the Kuramoto model. On the Ott-Antonsen's manifold, through analyzing the associated characteristic equatio…
Nonresonant Hopf-Hopf bifurcation and a chaotic attractor in neutral functional differential equations
Ben Niu, Weihua Jiang
Nonresonant Hopf-Hopf singularity in neutral functional differential equation (NFDE) is considered. An algorithm for calculating the third-order normal form is established by using…
An approach to normal forms of Kuramoto model with distributed delays and the effect of minimal delay
Ben Niu, Yuxiao Guo, Weihua Jiang
Heterogeneous delays with positive lower bound (gap) are taken into consideration in Kuramoto oscillators. We first establish a perturbation technique, by which universal normal fo…