A New Chaotic System with Multiple Attractors: Dynamic Analysis, Circuit Realization and S-Box Design
This paper reports about a novel three-dimensional chaotic system with three nonlinearities. The system has one stable equilibrium, two stable equilibria and one saddle node, two saddle foci and one saddle node for different parameters. One salient feature of this novel system is its multiple attrac...
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MDPI AG
2017-12-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/20/1/12 |
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doaj-14b1d336ad124e43b3c7f5a79e6475a12020-11-25T00:10:10ZengMDPI AGEntropy1099-43002017-12-012011210.3390/e20010012e20010012A New Chaotic System with Multiple Attractors: Dynamic Analysis, Circuit Realization and S-Box DesignQiang Lai0Akif Akgul1Chunbiao Li2Guanghui Xu3Ünal Çavuşoğlu4School of Electrical and Automation Engineering, East China Jiaotong University, Nanchang 330013, ChinaDepartment of Electrical and Electronics Engineering, Faculty of Technology, Sakarya University, Serdivan 54187, TurkeySchool of Electronic and Information Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, ChinaSchool of Electrical and Electronic Engineering, Hubei University of Technology, Wuhan 430068, ChinaDepartment of Computer Engineering, Faculty of Computer and Information Sciences, Sakarya University, Serdivan 54187, TurkeyThis paper reports about a novel three-dimensional chaotic system with three nonlinearities. The system has one stable equilibrium, two stable equilibria and one saddle node, two saddle foci and one saddle node for different parameters. One salient feature of this novel system is its multiple attractors caused by different initial values. With the change of parameters, the system experiences mono-stability, bi-stability, mono-periodicity, bi-periodicity, one strange attractor, and two coexisting strange attractors. The complex dynamic behaviors of the system are revealed by analyzing the corresponding equilibria and using the numerical simulation method. In addition, an electronic circuit is given for implementing the chaotic attractors of the system. Using the new chaotic system, an S-Box is developed for cryptographic operations. Moreover, we test the performance of this produced S-Box and compare it to the existing S-Box studies.https://www.mdpi.com/1099-4300/20/1/12new chaotic systemmultiple attractorselectronic circuit realizationS-Box algorithm |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Qiang Lai Akif Akgul Chunbiao Li Guanghui Xu Ünal Çavuşoğlu |
| spellingShingle |
Qiang Lai Akif Akgul Chunbiao Li Guanghui Xu Ünal Çavuşoğlu A New Chaotic System with Multiple Attractors: Dynamic Analysis, Circuit Realization and S-Box Design Entropy new chaotic system multiple attractors electronic circuit realization S-Box algorithm |
| author_facet |
Qiang Lai Akif Akgul Chunbiao Li Guanghui Xu Ünal Çavuşoğlu |
| author_sort |
Qiang Lai |
| title |
A New Chaotic System with Multiple Attractors: Dynamic Analysis, Circuit Realization and S-Box Design |
| title_short |
A New Chaotic System with Multiple Attractors: Dynamic Analysis, Circuit Realization and S-Box Design |
| title_full |
A New Chaotic System with Multiple Attractors: Dynamic Analysis, Circuit Realization and S-Box Design |
| title_fullStr |
A New Chaotic System with Multiple Attractors: Dynamic Analysis, Circuit Realization and S-Box Design |
| title_full_unstemmed |
A New Chaotic System with Multiple Attractors: Dynamic Analysis, Circuit Realization and S-Box Design |
| title_sort |
new chaotic system with multiple attractors: dynamic analysis, circuit realization and s-box design |
| publisher |
MDPI AG |
| series |
Entropy |
| issn |
1099-4300 |
| publishDate |
2017-12-01 |
| description |
This paper reports about a novel three-dimensional chaotic system with three nonlinearities. The system has one stable equilibrium, two stable equilibria and one saddle node, two saddle foci and one saddle node for different parameters. One salient feature of this novel system is its multiple attractors caused by different initial values. With the change of parameters, the system experiences mono-stability, bi-stability, mono-periodicity, bi-periodicity, one strange attractor, and two coexisting strange attractors. The complex dynamic behaviors of the system are revealed by analyzing the corresponding equilibria and using the numerical simulation method. In addition, an electronic circuit is given for implementing the chaotic attractors of the system. Using the new chaotic system, an S-Box is developed for cryptographic operations. Moreover, we test the performance of this produced S-Box and compare it to the existing S-Box studies. |
| topic |
new chaotic system multiple attractors electronic circuit realization S-Box algorithm |
| url |
https://www.mdpi.com/1099-4300/20/1/12 |
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