This paper designs four simple adaptive feedback controllers for chaos synchronization with linear– nonlinear decomposition method. Synchronization of two identical chaotic systems is realized by designed controller; Synchronization of two different chaotic systems is also realized, and the proposed method is simple and robust. Numerical simulations are given to show the effectiveness of this m...

In this paper, we apply modified decomposition method (MDM) to solve systems of partial differential equations. Several examples are given to verify the reliability and efficiency of the method. Numerical results clearly reveal the complete reliability of the proposed algorithm.

This article addresses the image denoising problem in the situations of strong noise. We propose a dual sparse decomposition method. This method makes a sub-dictionary decomposition on the over-complete dictionary in the sparse decomposition. The sub-dictionary decomposition makes use of a novel criterion based on the occurrence frequency of atoms of the over-complete dictionary over the data s...