A Complex-Valued Rotational Chaotic Map With Zynq-Based Hardware Implementation
Abstract
Due to the existence of complex variables and parameters, complex-valued chaotic maps can exhibit much richer dynamical behaviors than real-valued counterparts. However, most existing chaotic maps focus on the real domain, while studies on complex-valued chaotic maps remain relatively underexplored. In light of this, this brief proposes a two-dimensional complex-valued rotational chaotic (2D-CRC) map. Theoretical analysis reveals that the 2D-CRC map exhibits chaotic behavior in terms of Lyapunov exponents. Property analysis shows that the 2D-CRC map exhibits rich dynamical behaviors, notably an inherent rotational property. Furthermore, a Zynq-based hardware implementation is employed to demonstrate the practical realizability of the generated strange attractors.
Fields of Study & Subjects
Chaos control and synchronization
Chaos-based Image/Signal Encryption
Quantum chaos and dynamical systems
Publication details
- Journal / source
- IEEE Transactions on Circuits & Systems II Express Briefs
- Publisher
- Institute of Electrical and Electronics Engineers (IEEE)
- Volume
- 73
- Issue
- 3
- Pages
- 323–327
- Publication date
- 13 January 2026