Anti-synchronization phenomenon of discrete chaotic maps using linear transformations

摘要

This paper develops the theory of generalized anti-synchronization (GAS) of discrete chaotic Henon maps via linear transformations. This anti-synchronization method is based on the stability criteria of the linear system. The necessary and sufficient condition of GAS of chaotic maps using linear transformation is established. This paper suggests a method to study GAS through linear transformation in drive-response system. Our proposed method is able to find the relationship between the drive variables and response variables after antisynchronization.