5 citations · 9 across the 3 of their papers we have counts for
3 papers
math.DS2018★ 1 cited
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…
math.DS2018★ 3 cited
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…
math.DS2014★ 5 cited
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…