Shape synchronization control for three-dimensional chaotic systems

Yuanyuan Huang, Yinhe Wang, Haoguang Chen and Siying Zhang

Chaos, Solitons & Fractals, 2016, vol. 87, issue C, 136-145

Abstract: This paper aims to the three-dimensional continuous chaotic system and shape of the chaotic attractor by utilizing the basic theory of plane curves in classical differential geometry, the continuous controller is synthesized for the master–slave synchronization in shape. This means that the slave system can possess the same shape of state trajectory with the master system via the continuous controller. The continuous controller is composed of three sub-controllers, which respectively correspond to the master–slave synchronization in shape for the three projective curves of the chaotic attractor onto the three coordinate planes. Moreover, the proposed shape synchronization technique as well as application of control scheme to secure communication is also demonstrated in this paper, where numerical simulation results show the proposed control method works well.

Keywords: Three-dimensional chaotic system; Shape synchronization; Secure communication (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:87:y:2016:i:c:p:136-145

DOI: 10.1016/j.chaos.2016.03.025

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