近期，我院崔洪勇副教授与合作者的文章《Lattice Dynamics Coupled at an Interface》在国际期刊《International Journal of Bifurcation and Chaos》发表。

      摘要：A coupled lattice dynamical system generated by two infinite lattice differential equations meeting asymptotically at an interface is studied. This can be interpreted as a special case of dynamics on graphs with the sum of inputs and outputs at each node satisfying the Kirchhoff balance law. First a suitable infinite sequence state space for the model is constructed. Then the existence and uniqueness of solutions and the generation of a dynamical system by the coupled equations is established. Finally, the existence of a global attractor of the coupled dynamical system is discussed. The analysis of the attractor is complicated by the fact that the attraction is in a weaker topology than that defining the state space of the coupled dynamics under which the state space is incomplete.

      论文链接：https://www.worldscientific.com/doi/10.1142/S0218127426502329