Skip to main content
SpringerLink
Log in

Generating different types of multi-double-scroll and multi-double-wing hidden attractors

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

Abstract

In this paper, a new function is introduced to generate various multi-double-scroll and multi-double-wing hidden attractors. In order to prove the effectiveness of the proposed method, three chaotic systems are taken into consideration: a 3D chaotic system with stable equilibria, a 4D chaotic system and a 4D hyper-chaotic system both without equilibrium. And the dynamical behaviors of these systems are theoretically analyzed and numerically simulated, such as analysis of equilibria and their stability, Lyapunov exponent spectra and bifurcation diagrams. Moreover, a corresponding electronic circuit is designed based on the 4D chaotic system. The hardware experimental results are in agreement with the numerical simulations on the Matlab platform.

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. E.N. Lorenz, J. Atmos. Sci. 20, 130 (1963).

    Article  ADS  Google Scholar 

  2. K.H. Sun, X. Liu, C.X. Zhu, Chin. J. Electron. 23, 353 (2014).

    Google Scholar 

  3. C.B. Li, J.C. Sprott, et al., Int. J. Bifurc. Chaos 27, 1750160 (2017).

    Article  Google Scholar 

  4. Q. Xu, Y. Lin, B.C. Bao, et al., Chaos Solitons Fractals 83, 186 (2016).

    Article  ADS  MathSciNet  Google Scholar 

  5. Q. Xu, Q.L. Zhang, T. Jiang, et al., Circuit World 44, 108 (2018).

    Article  Google Scholar 

  6. J.A.K. Suykens, J. Vandewalle, IEEE Trans. Circuits Syst. I: Fundam. Theory Appl. 40, 861 (1993).

    Article  Google Scholar 

  7. M.A. Zidan, A.G. Radwan, K.N. Salama, Int. J. Bifurc. Chaos 22, 1250143 (2012).

    Article  Google Scholar 

  8. Y. Huang, P. Zhang, W. Zhao, , IEEE Trans. Circuits Syst. II: Express, Briefs 62, 496 (2014).

    Google Scholar 

  9. F.Q. Wang, C.X. Liu, Int. J. Mod. Phys. B 22, 2399 (2008).

    Article  ADS  Google Scholar 

  10. Q.H. Hong, Y. Li, X.P. Wang, et al., IEEE Trans. Comput. Aided Des. Integr. Circuits Syst. 99, 1 (2018).

    Google Scholar 

  11. N.V. Kuznetsov, G.A. Leonov, V.I. Vagaitsev, IFAC Proc. 43, 29 (2010).

    Article  Google Scholar 

  12. D. Dudkowski, S. Jafari, T. Kapitaniak, et al., Phys. Rep. 637, 1 (2016).

    Article  ADS  MathSciNet  Google Scholar 

  13. S.T. Kingni, S. Jafari, V.T. Pham, et al., Math. Comput. Simul. 132, 172 (2016).

    Article  Google Scholar 

  14. M. Chen, Q. Xu, Y. Lin, B.C. Bao, Nonlinear Dyn. 87, 789 (2017).

    Article  Google Scholar 

  15. B.C. Bao, J.Y. Luo, H. Bao, C.J. Chen, H.G. Wu, Q. Xu, Int. J. Bifurc. Chaos 29, 1950168 (2019).

    Article  Google Scholar 

  16. G.A. Leonov, N.V. Kuznetsov, T.N. Mokaev, Eur. Phys. J. Special Topics 224, 1421 (2015).

    Article  ADS  Google Scholar 

  17. F.R. Tahir, S. Jafari, V.T. Pham, et al., Int. J. Bifurc. Chaos 25, 1550056 (2015).

    Article  Google Scholar 

  18. X. Hu, C. Liu, L. Liu, et al., Chin. Phys. B 26, 110502 (2017).

    Article  ADS  Google Scholar 

  19. S. Jafari, V.T. Pham, T. Kapitaniak, Int. J. Bifurc. Chaos 26, 1650031 (2016).

    Article  Google Scholar 

  20. R.J. Escalante-González, E. Campos-Cantón, M. Nicol, Chaos 27, 053109 (2017).

    Article  ADS  MathSciNet  Google Scholar 

  21. X. Hu, C. Liu, L. Ling, et al., Nonlinear Dyn. 86, 1725 (2016).

    Article  Google Scholar 

  22. L. Zhou, C.H. Wang, et al., Int. J. Circuit Theory Appl. 46, 84 (2018).

    Article  Google Scholar 

  23. Q.L. Deng, C.H. Wang, Chaos 29, 093112 (2019).

    Article  ADS  MathSciNet  Google Scholar 

  24. P. Barry, arXiv:1702.04778v1 (2017).

  25. B. Munmuangsaen, B. Srisuchinwong, Chaos Solitons Fractals 107, 61 (2018).

    Article  ADS  MathSciNet  Google Scholar 

  26. S. Zhang, C.Z. Yi, J.L. Zhi, J. Comput. Nonlinear Dyn. 13, 090908 (2018).

    Article  Google Scholar 

  27. F. Nazarimehr, K. Rajagopal, J. Kengne, et al., Chaos Solitons Fractals 111, 108 (2018).

    Article  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Physics and Optoelectric Engineering, Xiangtan University, Xiangtan, Hunan, 411105, P.R. China

    Qi Xie & Yicheng Zeng

Authors
  1. Qi Xie
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yicheng Zeng
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Yicheng Zeng.

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

Xie, Q., Zeng, Y. Generating different types of multi-double-scroll and multi-double-wing hidden attractors. Eur. Phys. J. Spec. Top. 229, 1361–1371 (2020). https://doi.org/10.1140/epjst/e2020-900223-9

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjst/e2020-900223-9

Search

Navigation