81 citations · 137 across the 8 of their papers we have counts for
8 papers
On Turing-Turing bifurcation of partial functional differential equations and its induced superposition patterns
Xun Cao, Weihua Jiang
When two Turing modes interact, i.e., Turing-Turing bifurcation occurs, superposition patterns revealing complex dynamical phenomena appear. In this paper, superposition patterns r…
Turing instability and Turing-Hopf bifurcation in diffusive Schnakenberg systems with gene expression time delay
Weihua Jiang, Hongbin Wang, Xun Cao
For delayed reaction-diffusion Schnakenberg systems with Neumann boundary conditions, critical conditions for Turing instability are derived, which are necessary and sufficient. An…
Turing-Hopf bifurcation and spatiotemporal patterns in a ratio-dependent diffusive Holling-Tanner system with time delay
Qi An, Weihua Jiang
The Turing-Hopf type spatiotemporal patterns in a diffusive Holling-Tanner model with discrete time delay is considered. A global Turing bifurcation theorem for and a local T…
Formulation of the normal forms of Turing-Hopf bifurcation in reaction-diffusion systems with time delay
Weihua Jiang, Qi An, Junping Shi
The normal forms up to the third order for a Hopf-steady state bifurcation of a general system of partial functional differential equations (PFDEs) is derived based on the center m…
Turing-Hopf bifurcation and spatio-temporal patterns of a ratio-dependent Holling-Tanner system with diffusion
Qi An, Weihua Jiang
A diffusive ratio-dependent Holling-Tanner system subject to Neumann boundary conditions is considered. The existence of multiple bifurcations, including Turing-Hopf bifurcation, T…
Spatiotemporal attractors generated by the Turing-Hopf bifurcation in a time-delayed reaction-diffusion system
Qi An, Weihua Jiang
We study the Turing-Hopf bifurcation and give a simple and explicit calculation formula of the normal forms for a general two-components system of reaction-diffusion equation with…
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…