We discuss the asymptotic behavior of solutions of weakly coupled parabolic equations describing systems undergoing diffusion, convection and nonlinear interaction in a bounded spatial domain, Ω. If ...

The aligning of frequencies on an equidistant spectral grid, known as mode locking, is a necessary feature for generating ultrashort laser pulses. Existing phase models aim to explain how different ...

Abstract: In this article, the investigation is centered on the problem of fixed-time control within nonlinear systems. A quantized fixed-time prescribed performance control is proposed for the first ...