4 citations · 7 across the 3 of their papers we have counts for
3 papers
math.DS2022
Double Hopf bifurcation analysis in the memory-based diffusion system
Yongli Song, Yahong Peng, Tonghua Zhang
In this paper, we derive the algorithm for calculating the normal form of the double Hopf bifurcation that appears in a memory-based diffusion system via taking memory-based diffus…
math.DS2021★ 4 cited
The spatially inhomogeneous Hopf bifurcation induced by memory delay in a memory-based diffusion system
Yongli Song, Yahong Peng, Tonghua Zhang
The memory-based diffusion systems have wide applications in practice. Hopf bifurcations are observed from such systems. To meet the demand for computing the normal forms of the Ho…
math.AP2020★ 3 cited
Effect of spatial average on the spatiotemporal pattern formation of reaction-diffusion systems
Qingyan Shi, Junping Shi, Yongli Song
Some quantities in the reaction-diffusion models from cellular biology or ecology depend on the spatial average of density functions instead of local density functions. We show tha…