Constructing hyperchaotic attractors of conditional symmetry

Zhenyu Gu, Chunbiao Li (), Herbert H. C. Iu, Fuhong Min and Yibo Zhao
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Zhenyu Gu: Jiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology (CICAEET), Nanjing University of Information Science & Technology
Chunbiao Li: Jiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology (CICAEET), Nanjing University of Information Science & Technology
Herbert H. C. Iu: School of Electrical, Electronic, and Computing Engineering, The University of Western Australian
Fuhong Min: School of Electrical and Automation Engineering, Nanjing Normal University
Yibo Zhao: Jiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology (CICAEET), Nanjing University of Information Science & Technology

The European Physical Journal B: Condensed Matter and Complex Systems, 2019, vol. 92, issue 10, 1-9

Abstract: Abstract By applying the symmetry property of nonlinear function for obtaining new polarity balance, hyperchaotic systems of conditional symmetry are constructed, and coexisting hyperchaotic attractors of conditional symmetry originated from 1-D and 2-D offset boosting are captured accordingly. More interestingly, a symmetric hyperchaotic system is proven to host conditional symmetry, and consequently output coexisting symmetric pair of attractors and their duplication of conditional symmetry. Consequently, two independent processes of attractor merging are observed, which have not been previously reported. Furthermore, the property of offset boosting is discussed for the newly constructed hyperchaotic systems. Circuit implementation based on the develop kit of STM32 is developed, it demonstrates those coexisting attractors are in good agreement with the theoretical analysis and numerical simulations. Graphical abstract

Keywords: Solid; State; and; Materials (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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DOI: 10.1140/epjb/e2019-100165-9

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