2 papers
math.DS2024
Dynamics of a class of time-period strongly 2-cooperative system: integer-valued Lyapunov function and embedding property of limit sets
Mengmeng Gao, Dun Zhou
We construct an integer-valued Lyapunov function for generalized negative cyclic feedback system; and prove that on any -limit set which generated by Poinc…
math.DS2023
The Morse Smale property for time-periodic scalar reaction-diffusion equation on the circle
Tingting Su, Dun Zhou
\begin{abstract} We study the Morse-Smale property for the following scalar semilinear parabolic equation on the circle , \begin{equation*} u_{t}=u_{xx}+f(t,u,u_{x}),\,\,t>0,\…