Time delay feedback has been shown to produce chaos from non-chaotic systems. In sthis paper, besides the single and double scroll chaotic attractors, a new composite multi-scroll attractor is found in stable systems with time delay feedback. From the viewpoint of the local stability analysis, conservation analysis, Lyapunov exponent spectrum and power spectrum, the composite multi-scroll attractor is shown to be a hyper-chaotic attractor. The phase trajectory in the new composite hyper-chaotic multi-scroll attractor diverges in multiple eigen-directions, which improves the security of secure communication and chaotic encryption. A paradigm using the multi-scroll attractor for encryption is proposed, demonstrating its potential applicability.
- time delay feedback
- multi-scroll attractor
- hyper-chaotic attractor
Ren, H-P., Bai, C., Tian, K., & Grebogi, C. (2017). Dynamics of delay induced composite multi-scroll attractor and its application in encryption. International Journal of Non-Linear Mechanics, 94, 334-342. https://doi.org/10.1016/j.ijnonlinmec.2017.04.014