Dynamics of delay induced composite multi-scroll attractor and its application in encryption

Hai-Peng Ren* (Corresponding Author), Chao Bai, Kun Tian, Celso Grebogi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

23 Citations (Scopus)
18 Downloads (Pure)


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.
Original languageEnglish
Pages (from-to)334-342
Number of pages9
JournalInternational Journal of Non-Linear Mechanics
Early online date20 Apr 2017
Publication statusPublished - Sept 2017

Bibliographical note

This work was supported in part by NSFC (60804040, 61172070), Key Program of Nature Science Foundation of Shaanxi Province (2016ZDJC-01), Innovative Research Team of Shaanxi Province(2013KCT-04), Fok Ying Tong Education Foundation Young Teacher Foundation(111065), Chao Bai was supported by Excellent Ph.D. research fund (310-252071603) at XAUT.


  • time delay feedback
  • multi-scroll attractor
  • hyper-chaotic attractor


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