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

Hai-Peng Ren; Chao  Bai; Kun  Tian; Celso Grebogi

doi:10.1016/j.ijnonlinmec.2017.04.014

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

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

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Abstract

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 language	English
Pages (from-to)	334-342
Number of pages	9
Journal	International Journal of Non-Linear Mechanics
Volume	94
Early online date	20 Apr 2017
DOIs	https://doi.org/10.1016/j.ijnonlinmec.2017.04.014
Publication status	Published - Sep 2017

Keywords

time delay feedback
multi-scroll attractor
hyper-chaotic attractor

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© 2017. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
Accepted author manuscript, 8.41 MBLicence: CC BY-NC-ND

Cite this

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title = "Dynamics of delay induced composite multi-scroll attractor and its application in encryption",

abstract = "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.",

keywords = "time delay feedback , multi-scroll attractor, hyper-chaotic attractor",

author = "Hai-Peng Ren and Chao Bai and Kun Tian and Celso Grebogi",

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. ",

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doi = "10.1016/j.ijnonlinmec.2017.04.014",

language = "English",

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journal = "International Journal of Non-Linear Mechanics",

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T1 - Dynamics of delay induced composite multi-scroll attractor and its application in encryption

AU - Ren, Hai-Peng

AU - Bai, Chao

AU - Tian, Kun

AU - Grebogi, Celso

N1 - 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.

PY - 2017/9

Y1 - 2017/9

N2 - 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.

AB - 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.

KW - time delay feedback

KW - multi-scroll attractor

KW - hyper-chaotic attractor

U2 - 10.1016/j.ijnonlinmec.2017.04.014

DO - 10.1016/j.ijnonlinmec.2017.04.014

M3 - Article

VL - 94

SP - 334

EP - 342

JO - International Journal of Non-Linear Mechanics

JF - International Journal of Non-Linear Mechanics

SN - 0020-7462

ER -

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

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Keywords

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