Dynamics of delay induced composite multi-scroll attractor and its application in encryption |
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| Affiliation: | 1. Unité de Recherche de Laboratoire d''Automatique et Informatique Appliquée (LAIA), Department of Electrical Engineering, IUT-FV Bandjoun, University of Dschang, Cameroon;2. Unité de Recherche de Matière Condensée, d''Electronique et de Traitement du Signal, Department of Physics, University of Dschang, Dschang P.O. Box 67, Cameroon;3. Department of Physics, Faculty of Sciences, University of Douala, Cameroon;1. School of Electrical Engineering and Automation, Hefei University of Technology, Hefei 230009, China;2. School of Information and Engineering, Southwest University of Science and Technology, Mianyang 621010, China;3. School of Mathematics, Anhui University, Hefei 230601, China;4. Institute of Engineering, Polytechnic of Porto, Department of Electrical Engineering, R. Dr. António Bernardino de Almeida, 431,Porto 4249-015, Portugal;5. UISPA–LAETA/INEGI, Faculty of Engineering, University of Porto, Rua Dr. Roberto Frias, Porto 4200-465, Portugal;1. School of Information Science and Technology, Dalian Maritime University, Dalian 116026, China;2. School of Information Science and Engineering, Dalian polytechnic University, Dalian, 116034, China;1. School of Electrical Engineering and Automation, Hefei University of Technology, Hefei 230009, China;2. School of Mathematics, Anhui University, Hefei 230039, China;3. School of Information and Engineering, Southwest University of Science and Technology, Mianyang 621010, China;4. Robot Technology Used for Special Environment Key Laboratory of Sichuan Province, Mianyang 621010, China |
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| Abstract: | Time delay feedback has been shown to produce chaos from non-chaotic systems. In this 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. |
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| Keywords: | Time delay feedback Multi-scroll attractor Hyper-chaotic attractor |
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