supported by the National Natural Sci-ence Foundation of China (12071261,11871068,and 11831010);the National Key R&D Program (2018YFA0703900).
In this paper,we propose a new analytical modelling of the well-known fractional generalized Kuramoto-Sivashinky equation(FGKSE)using fractional operator with non-singular kernel and the homotopy anal-ysis transform m...
supported by the Hainan Provincial Natural Science Foundation of China(422RC667).
This paper presents new synchronization conditions for second-order phase-coupled Kuramoto oscillators in terms of edge dynamics.Two types of network-underlying graphs are studied,the positively weighted and signed gr...
supported by the Natural Science Foundation of Zhejiang Province with Grant No.LY18A010021.
This paper aims to study a second-order semi-implicit BDF finite element scheme for the Kuramoto-Tsuzuki equations in two dimensional and three dimensional spaces.The proposed scheme is stable and the nonlinear term i...
supported in part by Natural Sciences Foundation of Zhejiang Province(No.LZ23A010007);in part by the National Natural Science Foundation of China(No.12271518);Natural Science Foundation of Jiangsu Province(No.BK20201149);the Fundamental Research Funds of Xuzhou(No.KC21019)
In this paper,we analyze and test a high-order compact difference scheme numerically for solving a two-dimensional nonlinear Kuramoto-Tsuzuki equation under the Neumann boundary condition.A three-level average techniq...