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ELECTRICAL & ELECTRONIC ENGINEERING

The Fractional Order Generalization of HP Memristor Based Chaotic Circuit with Dimensional Consistency

ORCID Icon | (Reviewing editor)
Article: 1891731 | Received 03 Nov 2020, Accepted 24 Jan 2021, Published online: 29 Mar 2021

Figures & data

Figure 1. The candidate HP memristor-based chaotic circuit (Wang, Sun, Jin, Mo, Song, Dong et al., Citation2018a)

Figure 1. The candidate HP memristor-based chaotic circuit (Wang, Sun, Jin, Mo, Song, Dong et al., Citation2018a)

Figure 2. I1(t) v.s. t

Figure 2. I1(t) v.s. t

Figure 3. I2(t) v.s. t

Figure 3. I2(t) v.s. t

Figure 4. X(t) v.s. t

Figure 4. X(t) v.s. t

Figure 5. V1(t) v.s t

Figure 5. V1(t) v.s t

Figure 6. I1(t) v.s. v1(t)

Figure 6. I1(t) v.s. v1(t)

Figure 7. I2(t) v.s. v1(t)

Figure 7. I2(t) v.s. v1(t)

Figure 8. I1(t) v.s. x(t)

Figure 8. I1(t) v.s. x(t)

Figure 9. I2(t) v.s. x(t)

Figure 9. I2(t) v.s. x(t)

Figure 10. I2(t) v.s. i1(t)

Figure 10. I2(t) v.s. i1(t)

Figure 11. V1(t) v.s. x(t)

Figure 11. V1(t) v.s. x(t)

Table 1. LE1, LE2, LE3, LE4 and DL of the generalized circuit with dimensional consistency awareness

Figure 12. m2 v.s. α.

Figure 12. m2 v.s. α.

Figure 13. m3,4v.s. α.

Figure 13. m3,4v.s. α.

Figure 14. I2(t) v.s. x(t): α = 0.5

Figure 14. I2(t) v.s. x(t): α = 0.5

Table 2. LE1, LE2, LE3, LE4 and DL of the generalized circuit without dimensional consistency awareness

Figure 15. The emulator block diagram

Figure 15. The emulator block diagram

Figure 16. The emulator circuit

Figure 16. The emulator circuit

Figure 17. The RC approximated circuit of a CPE (Petrzela, Citation2019)

Figure 17. The RC approximated circuit of a CPE (Petrzela, Citation2019)

Table 3. The parameter values of emulator circuit

Table 4. The resistance and capacitance values for approximating Cα

Table 5. The resistance and capacitance values for approximating Cβ

Table 6. The resistance and capacitance values for approximating Cγ

Table 7. The resistance and capacitance values for approximating Cδ

Figure 18. X(t) v.s. t

Figure 18. X(t) v.s. t

Figure 19. Y(t) v.s. t

Figure 19. Y(t) v.s. t

Figure 20. Z(t) v.s. t

Figure 20. Z(t) v.s. t

Figure 21. W(t) v.s. t

Figure 21. W(t) v.s. t

Data availability statement

The data supporting the finding of this study are available within the article.