Skip to main content
SpringerLink
Log in

A memristive chaotic system with offset-boostable conditional symmetry

  • Regular Article
  • Published:
The European Physical Journal Special Topics Aims and scope Submit manuscript

Abstract

Conditional symmetry is obtained in a memristive system when the function-based polarity inverse meets the new polarity balance, which produces coexisting oscillations including chaos and other periodic ones. Coexisting bifurcations in two separate spaces were studied, showing an interesting function of amplitude modification in a limited parameter interval. In addition, a cute constant was embedded in the system as a knob to control the coexisting solutions with any desired offset in one dimension. Circuit was designed showing the same dynamics as numerical simulation.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. L. Zhou, C. Wang, L. Zhou, Int. J. Bifurc. Chaos 46, 84 (2018)

    Google Scholar 

  2. K. Rajagopal, A. Bayani, A.J.M. Khalaf, H. Namazi, S. Jafari, V.T. Pham, A.E.U. Int, J. Electron. Commun. 95, 207 (2018)

    Google Scholar 

  3. K. Rajagopal, C. Li, F. Nazarimehr, A. Karthikeyan, P. Duraisamy, S. Jafari, Radioengineering 28, 165 (2019)

    Article  Google Scholar 

  4. L. Zhou, C. Wang, X. Zhang, W. Yao, Int. J. Bifurc. Chaos 28, 1850050 (2018)

    Article  Google Scholar 

  5. M. Chen, M. Li, Q. Yu, B. Bao, Q. Xu, J. Wang, Nonlinear Dyn. 81, 215 (2015)

    Article  Google Scholar 

  6. S. He, S. Banerjee, K. Sun, Eur. Phys. J. Special Topics 228, 195 (2019)

    Article  ADS  Google Scholar 

  7. K. Rajagopal, V.T. Pham, F.E. Alsaadi, Eur. Phys. J. Special Topics 227, 837 (2018)

    Article  ADS  Google Scholar 

  8. X. Zhang, C. Wang, IEEE Access 7, 16336 (2019)

    Article  Google Scholar 

  9. Q. Lai, T. Nestor, J. Kengne, X. Zhao, Chaos Solitons Fractals 107, 92 (2018)

    Article  ADS  MathSciNet  Google Scholar 

  10. C. Zhou, Z. Li, J. Kengne, F. Xie, Eur. Phys. J. Plus 134, 1 (2019)

    Article  ADS  Google Scholar 

  11. Y. Tang, A.J.M. Khalaf, K. Rajagopal, V.T. Pham, S. Jafari, Y. Tian, Chin. Phys. B 27, 040502 (2018)

    Article  ADS  Google Scholar 

  12. S. Jafari, A. Ahmadi, S. Panahi, K. Rajagopal, J. Circuits Syst. Comput. 27, 1850066 (2018)

    Article  Google Scholar 

  13. K. Rajagopal, S. Jafari, A. Karthikeyan, A. Srinivasan, B. Ayele, Circuits Syst. Signal Procss. 37, 3702 (2018)

    Article  Google Scholar 

  14. C. Li, J.C. Sprott, Int. J. Bifurc. Chaos 24, 1450034 (2014)

    Article  Google Scholar 

  15. Y. Song, F. Yuan, Y. Li, Entropy 21, 678 (2019)

    Article  ADS  Google Scholar 

  16. C. Wang, X. Liu, H. Xia, Chaos 27, 033114 (2017)

    Article  ADS  Google Scholar 

  17. Q. Li, H. Zeng, X. Yang, Nonlinear Dyn. 77, 255 (2014)

    Article  Google Scholar 

  18. B. Bao, H. Qian, Q. Xu, M. Chen, J. Wang, Y. Yu, Front. Comput. Neurosci. 11, 81 (2017)

    Article  Google Scholar 

  19. X. Zhang, C. Wang, Int. J. Bifurc. Chaos 29, 1950117 (2019)

    Article  Google Scholar 

  20. F. Yuan, G. Wang, X. Wang, Chaos 26, 073107 (2016)

    Article  ADS  MathSciNet  Google Scholar 

  21. L. Zhou, C. Wang, L. Zhou, Int. J. Bifurc. Chaos 27, 1750027 (2017)

    Article  Google Scholar 

  22. H. Bao, W. Liu, M. Chen, Nonlinear Dyn. 96, 1879 (2019)

    Article  Google Scholar 

  23. Q. Xu, Y. Lin, B. Bao, M. Chen, Chaos Solitons Fractals 83 186 (2016)

    Article  ADS  MathSciNet  Google Scholar 

  24. G. Wang, F. Yuan, G. Chen, Y. Zhang, Chaos 28, 013125 (2018)

    Article  ADS  MathSciNet  Google Scholar 

  25. S. Jafari, A. Ahmadi, A.J.M. Khalaf, H.R. Abdolmohammadi, V.T. Pham, F.E. Alsaadi, AEU Int. J. Electron. Commun. 89, 131 (2018)

    Article  Google Scholar 

  26. S. Jafari, A. Ahmadi, S. Panahi, K. Rajagopal, Chaos Solitons Fractals 108, 182 (2018)

    Article  ADS  Google Scholar 

  27. C. Li, J.C. Sprott, H. Xing, Nonlinear Dyn. 87, 1351 (2017)

    Article  Google Scholar 

  28. C. Li, J.C. Sprott, Y. Liu, Z. Gu, J. Zhang, Int. J. Bifurc. Chaos 28, 1850163 (2018)

    Article  Google Scholar 

  29. C. Li, J.C. Sprott, W. Hu, Y. Xu, Int. J. Bifurc. Chaos 27, 1750160 (2017)

    Article  Google Scholar 

  30. Z. Lin, H. Wang, IETE Tech. Rev. 27, 318 (2010)

    Article  Google Scholar 

  31. G. Peng, F. Min, Nonlinear Dyn. 90, 1607 (2017)

    Article  Google Scholar 

  32. C. Li, F. Min, Q. Jin, H. Ma, AIP Adv. 7, 125204 (2017)

    Article  ADS  Google Scholar 

  33. T. Lin, F. Huang, Z. Du, Y. Lin, Int. J. Fuzzy Syst. 17, 206 (2015)

    Article  MathSciNet  Google Scholar 

  34. P. Liu, R. Xi, P. Ren, J. Hou, X. Li, Complexity 2018, 3497640 (2018)

    Google Scholar 

  35. J. Liu, R. Xu, Int. J. Syst. Sci. 49, 1300 (2018)

    Article  ADS  Google Scholar 

  36. P. Muthukumar, P. Balasubramaniam, K. Ratnavelu, Int. J. Dyn. Control 5, 115 (2017)

    Article  MathSciNet  Google Scholar 

  37. M.E. Sahin, Z.G.C. Takiran, H. Guler, S.E. Hamamci, Sens. Actuators A 290, 107 (2019)

    Article  Google Scholar 

  38. K. Rajagopal, A. Akgul, S. Jafari, B. Aricioglu, Nonlinear Dyn. 91, 957 (2018)

    Article  Google Scholar 

  39. C. Li, J.C. Sprott, Optik 127, 10389 (2016)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Jiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology (CICAEET), Nanjing University of Information Science & Technology, Nanjing, 210044, P.R. China

    Tianai Lu & Chunbiao Li

  2. Jiangsu Key Laboratory of Meteorological Observation and Information Processing, Nanjing University of Information Science and Technology, Nanjing, 210044, P.R. China

    Tianai Lu & Chunbiao Li

  3. Institute for Advanced Study, Shenzhen University, Shenzhen, 518060, P.R. China

    Xiong Wang

  4. Green Chemical Lab, Chongqing University, Chongqing, 400044, P.R. China

    Changyuan Tao & Zuohua Liu

Authors
  1. Tianai Lu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Chunbiao Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Xiong Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Changyuan Tao
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Zuohua Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Chunbiao Li.

Additional information

Publisher's Note

The EPJ Publishers remain neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Lu, T., Li, C., Wang, X. et al. A memristive chaotic system with offset-boostable conditional symmetry. Eur. Phys. J. Spec. Top. 229, 1059–1069 (2020). https://doi.org/10.1140/epjst/e2020-900186-5

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjst/e2020-900186-5

Search

Navigation