Dynamic Analysis of A Three Dimension Chaotic System

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Abstract: Memristor is a newly realized physical element, and it is a non-linear circuit element with memory function. We constructed a new three-dimensional chaotic system is constructed which contains four parameters and five non-linear terms. The system is analyzed by nonlinear dynamic analysis methods such as theoretical deduction analysis, numerical simulation, lyapunov exponent spectrum, and bifurcation diagram. The dynamic behavior of the system. This paper proposes a new three-dimensional chaotic system. The system contains four parameters, and each equation contains a non-linear product term. Based on theoretical derivation, numerical simulation,  Lyapunov exponential spectrum, bifurcation diagram, the basic dynamic characteristics of the chaotic system are analyzed.
Keywords: Three-dimensional system; Lyapunov exponent; Chaotic circuit
APA Citation: Shiqi Xiong, Weiwei Song (2023). Dynamic Analysis of A Three Dimension Chaotic System. Transactions on Engineering and Technology Research, 1(1), 67-72. https://doi.org/10.62051/fyrev934

References

  1. D. Cheng, Controllability of switched bilinear systems, IEEE Trans. on Automatic Control, 50(4): 511–515, 2005.
  2. D. Cheng, R. Ortega, and E. Panteley, On port controlled hamiltonian systems, in Advanced Robust and Adaptive Control — Theory and Applications, D. Cheng, Y. Sun, T. Shen, and H. Ohmori, Eds. Beijing: Tsinghua University Press, 2005: 3–16.
  3. MUTHUSWAMY B. Implementing memristor based chaotic circuits[J]. International Journal of Bifurcation and Chaos, 2010, 20(5):1335-1350.
  4. H. Poor, An Introduction t ITOH M, CHUA L. Memristor osillators[J]. International Journal of Bifurcation and Chaos, 2008, 18(11): 3183-3206.o Signal Detection and Estimation. New York: Springer-Verlag, 1985, chapter 4.
  5. ITOH M, CHUA L. Memristor osillators[J]. International Journal of Bifurcation and Chaos, 2008, 18(11): 3183-3206.
  6. Yang.fy, Leng.jl, Li.qd. Four-dimensional hyperchaotic memristive circuit based on Chua circuit[J]. Acta Physica Sinica, 2014, 63(8): 30-37.
  7. He Qiling, Xue Shuining, Deng Yangyang,et al. A new three-dimensional chaotic system and its linear feedback synchronization [J]. Journal of Chengdu University of Information Engineering, 2017, 32(05): 492-497.