SpringerLink
Log in

Electronic circuit and image encryption for a new 3D nonuniformly conservative system

  • Original Paper
  • Published:
Indian Journal of Physics Aims and scope Submit manuscript

Abstract

Introducing dynamical systems that involve a variable in the trace of the Jacobian matrix is a difficult challenge due to it is difficult to determine whether a system is dissipative or conservative. This paper introduces a new 3D chaotic nonuniformly conservative system with a variable in the trace of the Jacobian matrix through the Hamiltonian form. The proposed system is without equilibrium points (hidden attractors) and satisfies categories C and D. The system exhibits three distinct behaviors (chaotic, quasi-periodic, periodic) under the same parameters with varying initial conditions. The characteristics system are investigated through a combination of theoretical analysis and numerical simulations, including dissipative and conservative behavior, equilibrium points, bifurcation diagrams, Lyapunov exponents, and multistability. Finally, two applications are implemented: an electronic circuit and image encryption based on the proposed system. These outcomes substantiate the sufficiency and viability of this system, demonstrating its effective performance.

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

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (Germany)

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15

Similar content being viewed by others

Data availability

No data associated in the manuscript.

References

  1. E N Lorenz J. Atmos. Sci. 20 2 (1963)

    Google Scholar 

  2. O E Rössler Phys. Lett. A 57 5 (1976)

    Article  Google Scholar 

  3. Q Yang, W M Osman and C Chen Int. J. Bifurc. Chaos 25 04 (2015)

    Google Scholar 

  4. Q Yang, D Zhu and L Yang Int. J. Bifurc. Chaos 28 05 (2018)

    Google Scholar 

  5. Q Yang, L Yang and B Ou Int. J. Bifurc. Chaos 29 07 (2019)

    Google Scholar 

  6. L Yang, Q Yang and G Chen Simulation 90 105362 (2020)

    Google Scholar 

  7. S F Al-Azzawi and M A Al-Hayali Indian J. Phys. 97 1169 (2023)

  8. Z S Al-Talib and S F Al-Azzawi Iraqi J. Comp. Sci. Math. 4 1 (2023)

    Google Scholar 

  9. D Khattar, N Agrawal and M Sirohi Indian J. Phys. 98 1 (2024)

    Article  Google Scholar 

  10. L Wang, T Dong and M F Ge Appl. Math. Computation 347 293 (2019)

  11. B A Mezatio, M T Motchongom, B R W Tekam et al. Chaos Solitons Fractals 120 100 (2019)

  12. B A Mezatio, M T Motchongom, R Kengne et al. Int. J. Dynamics Control 8 70 (2020)

  13. S Cang, A Wu, Z Wang, and Z Chen Chaos, Solitons Fractals 99 45 (2017)

  14. S Cang, L Wang, Y Zhang, Z Wang and Z Chen Chaos Solitons Fractals 158 112016 (2022)

  15. Q Wang, S Yan, E Wang, Y Ren and X Sun Nonlinear Dyn. 111 8 (2023)

    Google Scholar 

  16. J Heidel and F Zhang Int. J. Bifurc. Chaos 17 6 (2007)

    Article  Google Scholar 

  17. M Kaur, D Singh and V Kumar Appl. Physics B 126 9 (2020)

    Article  Google Scholar 

  18. Z N Al-Kateeb, M J Al-Shamdeen and F S Al-Mukhtar J. Phys.: Conf. Ser. 1591 012019 (2020)

  19. S A Fadhel, Z N Al-Kateeb and M J AL-Shamdeen J. Phys.: Conf. Ser. 1879 022089 (2021)

  20. N M Mohammed and Z N Al-Kateeb In: Fifth College Sci. Int. Conf. Recent Trends Information Technology (CSCTIT) (2022)

  21. S Yan, L Li, W Zhao and B Gu Nonlinear Dyn. 111 18 (2023)

    Google Scholar 

  22. S F Al-Azzawi Archives Control Sci. 34 1 (2024)

    MathSciNet  Google Scholar 

  23. M M Aziz and S F Al-Azzawi Int. J. Compu. Sci. Math. 13 1 (2021)

    Article  Google Scholar 

  24. S F AL-Azzawi and A S Al-Obeidi Asian-European J. Math. 14 2150085 (2021)

  25. S F AL-Azzawi, H Rubiani, A S Sukono and N Nainggolan J. Advanced Research Dyn. Control Syst. 12 548 (2020)

  26. M Yang, C Dong and X Sui Physica Scripta 98 12 (2023)

    Google Scholar 

  27. D Khattar, N Agrawal and M Sirohi Pramana 97 2 (2023)

    Article  Google Scholar 

  28. Y Yang, L Huang, J **ang, H Bao and H Li AEU-Int. J. Electronics Communications 135 153710 (2021)

  29. C Ma, J Mou, L **ong, S Banerjee, T Liu and X Han Nonlinear Dyn. 103 2867 (2021)

  30. Y Bai, X Li and W Pan Physica Scripta 97 11 (2022)

    Article  Google Scholar 

  31. H Qiu, X Xu, Z Jiang, K Sun and C Cao Scientific Reports 13 1893 (2023)

  32. S Fu, X Cheng and J Liu Scientific Reports 13 1 (2023)

    Article  Google Scholar 

  33. T Yu, W Ma, Z Wang and X Li European Physical Journal Special Topics 1 (2023)

  34. J P Singh and B K Roy Chaos Solitons Fractals 114 81 (2018)

  35. A Bayani, K Rajagopal, A J M Khalaf et al Physics Letters A 383 13 (2019)

    Article  Google Scholar 

  36. K Benkouider, T Bouden and M Halimi In: 2019 4th world conference on complex systems (WCCS) (pp. 1–6). IEEE (2019)

  37. A Gokyildirim, U E Kocamaz, Y Uyaroglu and H Calgan AEU-Int. J. Electronics Communications 160 154497 (2023)

  38. P C Rech Chaos Solitons Fractals 164 112614 (2022)

  39. J Ramadoss, R Kengne, D. Tokoue Ngatcha et al. Complexity 2022 8362836 (2022)

  40. S Cang, A Wu, Z Wang, Z Wang, and Z Chen Nonlinear Dyn. 89 2495 (2017)

  41. S Jafari and J C Sprott J. Bifurc. Chaos 29 2 (2019)

    Google Scholar 

  42. J C Sprott Int. J. Bifurc. Chaos 25 05 (2015)

    Google Scholar 

  43. F S Alshammari, M Asif, M F Hoque and A Aldurayhim Heliyon 9 6 (2023)

    Article  Google Scholar 

  44. M M Hossain, A Abdeljabbar, H O Roshid, M M Roshid and A N Sheikh Complexity 2022 8771583 (2022)

  45. S Uddin, S Karim, F S Alshammari, H O Roshid et al. Mathematical Problems Eng. 2022 (2022)

  46. F S Alshammari, Md Fazlul Hoque, H O Roshid et al. Comput. Modeling Eng. Sci. 135 8227124 (2023)

  47. B Munmuangsaen, J C Sprott, W J C Thio, A Buscarino and L Fortuna Int. J. Bifurc. Chaos 25 12 (2015)

    Article  Google Scholar 

  48. M Molaie, S Jafari, J C Sprott and S M R H Golpayegani Int. J. Bifurc. Chaos 23 11 (2013)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, College of Computer Science and Mathematics, University of Mosul, Mosul, Iraq

    Karam N. Abdul-Kareem & Saad Fawzi Al-Azzawi

Authors
  1. Karam N. Abdul-Kareem
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Saad Fawzi Al-Azzawi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Saad Fawzi Al-Azzawi.

Ethics declarations

Conflict of interest

The author hereby declares that there are no conflicts of interest.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Abdul-Kareem, K.N., Al-Azzawi, S.F. Electronic circuit and image encryption for a new 3D nonuniformly conservative system. Indian J Phys (2024). https://doi.org/10.1007/s12648-024-03316-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s12648-024-03316-y

Keywords

Search

Navigation