in this paper, the synchronization of a new hyperchaotic complex system based on t-s fuzzy model is proposed. first the considered hyperchaotic system is represented by t-s fuzzy model equivalently. then by using the parallel distributed compensation (pdc) method and by applying linear system theory and exact linearization (el) technique, a fuzzy controller is designed to realize the synchroniz...

We present an algorithm that uses block encoding on a quantum computer to exactly construct Krylov space, which can be used as the basis for Lanczos method estimate extremal eigenvalues of Hamiltonians. While classical has exponential cost in system size represent states systems, our efficient achieves this polynomial time and memory. The construction presented is exact sense resulting space id...

The extended homogeneous balance method is used to construct exact traveling wave solutions of the Maccari system, in which the homogeneous balance method is applied to solve the Riccati equation and the reduced nonlinear ordinary differential equation. Many exact traveling wave solutions of the Maccari system equation are successfully obtained.