A family of hyperchaotic systems with four-wing attractors

Abstract

It is easy to construct a hyperchaotic system，and many systematic approaches，based on Chua system，can be used for generating multi-scroll attractors. However, few reports discuss the smooth Lorenz-like system with multi-wing attractors，and the attractors with both hyperchaotic dynamics and multi-wing topological structure are seldom reported. Based on the existing smooth hyperchaotic system，the common characteristics of these systems are analyzed. A novel coordination transformation method is used for converting all the attractors' topological structure from two-wing to four-wing. Moreover，the hyperchaotic property is preserved in resulting system，the complexity of attractors is enhanced，and they are more suitable to be used in secure encryption communication.