Image encryption based on fractional order 4-D system with memristor

Abstract

By combining fractional differential operator with the memristor-based 4-D system, a fractional order 4-D system with memristor is proposed and the chaotic behavior of it is investigated. According to the chaos \u00a0characteristics \u00a0of \u00a0the \u00a0proposed \u00a0system, \u00a0an \u00a0image \u00a0encryption \u00a0method \u00a0is \u00a0put \u00a0forward. \u00a0Numerical simulations \u00a0suggest that \u00a0the given \u00a0image \u00a0encryption method \u00a0can \u00a0make an \u00a0image \u00a0effectively \u00a0resist \u00a0statistics attack in transferring and saving.