A Symmetric Pair of Hyperchaotic Attractors

Chunbiao Li1,2 | Akif Akgul3 | Julien Clinton Sprott4 | Herbert H.C. Iu5 | Wesley Joo‐Chen Thio6

1Jiangsu Key Laboratory of Meteorological Observation and Information Processing, Nanjing University of Information Science and Technology, Nanjing 210044, China
2School of Electronic and Information Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, China
3Faculty of Technology, Department of Electrical and Electronics Engineering, Sakarya University of Applied Sciences, Sakarya 54050, Turkey
4Department of Physics, University of Wisconsin—Madison, Madison, WI 53706, USA
5School of Electrical, Electronic, and Computing Engineering, The University of Western Australian, 35 Stirling Highway, Crawley, WA 6009, Australia
6Department of Electrical and Computer Engineering, The Ohio State University, Columbus, OH 43210, USA

Received: 8 February 2018 Revised: 9 April 2018 Accepted: 29 August 2018

A symmetric pair of hyperchaotic attractors based on the 4‐D Rössler system is constructed by adjusting the polarity information of some of its variables. By introducing a plane of equilibria into this system, an attractor and a repellor can be bridged. As a result, the proposed system is revised to be time‐reversible, and one of the coexisting attractors can be extracted. Therefore, two coexisting hyperchaotic attractors can be captured separately in an electric circuit without an external circuit to set initial conditions, which has not been previously reported.

Ref: C. Li, A. Akgul, J. C. Sprott, H. H. C. Iu, and W. J. Thio, International Journal of Circuit Theory and Applications,  46, 2434-2443 (2018)

The complete paper is available in PDF format.

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