2025/01/27 by Shiya Wang, Jianbin He
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Artificial intelligence #Attractor #Chaos control and synchronization #Chaos-based Image/Signal Encryption #Chaotic #Computer science #Control theory (sociology) #Engineering #Mathematical analysis #Mathematics #Mechanical engineering #Physics #Quantum chaos and dynamical systems #Scroll #Statistical physics #Transformation (genetics) #Variable (mathematics)
paper · doi:10.1088/1402-4896/adaa39
openalex publication_date 2025/01/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Abstract Multi-scroll chaos exhibits complex dynamic behavior, the method of designing chaotic systems with multi-scroll attractor is an important research topic. Without any theoretical guidance, it is very difficult to obtain a new chaotic system, especially the multi-scroll chaotic system. In this paper, a class of new chaotic systems with n -scroll attractor is investigated by using variable transformation based on n th order polynomial of complex number. The Lyapunov exponent, bifurcation diagram, and topological horseshoe in the Poincar é cross-section of new chaotic systems are presented to rigorously prove the existence of chaos in the multi-scroll chaotic system with the assistance of computer simulation. Based on the proposed multi-scroll chaotic system, a new encryption algorithm is proposed for image information, and the simulation experiments verify the feasibility and effectiveness of the proposed encryption algorithm.