Fanpeng ZENG, Qiang LAI, Cong LAI. Complex dynamic analysis and circuit realization of memristive Sprott⁃R chaotic system[J]. Chinese Journal of Quantum Electronics, 2024, 41(1): 170

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- Chinese Journal of Quantum Electronics
- Vol. 41, Issue 1, 170 (2024)

Fig. 1. Chaotic attractor for Sprott-R system. (a) x-y; (b) x-z

Fig. 2. "8"type voltammetric characteristic curve of cubic magneto memristor

Fig. 3. Sprott-R chaotic system with memristor

Fig. 4. Chaotic attractor for system (7). (a) x-y; (b) x-z; (c) x-w; (d) y-z
![The Lyapunov exponential spectrum (a) and bifurcation diagram (b) of system (7) change with a and a∈[0.4,2.4]](/Images/icon/loading.gif)
Fig. 5. The Lyapunov exponential spectrum (a) and bifurcation diagram (b) of system (7) change with and

Fig. 6. Projection of system (7) on x-y plane with . (a) ; (b) ; (c) ; (d) ; (e) ;(f)
![The Lyapunov exponential spectrum (a) and bifurcation diagram (b) of system (7) change with b and b∈[0.1, 2.1]](/Images/icon/loading.gif)
Fig. 7. The Lyapunov exponential spectrum (a) and bifurcation diagram (b) of system (7) change with b and

Fig. 8. Projection of system (7) on x-y plane with . (a) ; (b) ; (c)
![Bifurcation diagram of the system with different parameters under different initial conditions (The red and blue lines represent the initial conditions [-4,-2,3,4] and [-4,-2,8,4]. )](/Images/icon/loading.gif)
Fig. 9. Bifurcation diagram of the system with different parameters under different initial conditions (The red and blue lines represent the initial conditions and . )
![Lyapunov exponential spectrum of system (7) with different initial conditions [-4,-2,3,4] (a) and [-4,-2,8,4] (b) ( L1, L2 respectively represent the two larger of the four Lyapunov indices and L1>L2. )](/Images/icon/loading.gif)
Fig. 10. Lyapunov exponential spectrum of system (7) with different initial conditions (a) and (b) ( L1, L2 respectively represent the two larger of the four Lyapunov indices and L1>L2. )

Fig. 11. Projection on x-y plane of multiple coexisting attractors. (a) ; (b) ; (c)

Fig. 12. Projection (a) of Chaos attractor for system (7) and wave diagram (b) on x-y plane with

Fig. 13. Four-dimensional output signal bifurcation diagram of system (7) with . (a) x-m; (b) y-m; (c) z-m; (d) w-m

Fig. 14. Projection (a) of system (7) and wave diagram (b) on x-y plane with

Fig. 15. Memristive chaotic system circuit diagram (a) and memristor's equivalent circuit (b)

Fig. 16. Circuit simulation results. (a) x-y; (b) x-z; (c) x-w; (d) y-z

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