Dynamical Analysis and Misalignment Projection Synchronization of a Novel RLCM Fractional-Order Memristor Circuit System
Abstract
:1. Introduction
2. Fractional 3D Memristor Circuit System Model
2.1. Fractional Calculus Theory
2.2. A 3D Fractional-Order Flux-Controlled Memristor
2.3. Fractional-Order System Description and Chaotic Description
3. System Dynamics Behavior
3.1. Special Bifurcation Phenomenon of the System
3.2. Chaotic Degradation Phenomenon of the System
4. System Complexity Analysis
4.1. Characteristics of Complexity Variation with Order q
4.2. Characteristics of Complexity Variation with Internal Parameter of Memristor
4.3. Chaotic Map of System Complexity
5. Misalignment Projection Synchronization of the System
5.1. Theoretical Analysis of Misalignment Projection Synchronization
5.2. Numerical Simulation of Misalignment Projection Synchronization
6. Conclusions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
Appendix A
Appendix B
References
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Circuit Parameters | Physical Meaning | Parameter Value |
---|---|---|
C1 | Capacitance | 1.232 F |
C2 | Capacitance | 1.84 F |
C3 | Capacitance | 1.1 F |
R0/R1/R2/R3/R4/R5/R6/R7/R8 | Resistance | 10 k |
RA | Resistance | 62.84 M |
RB | Resistance | 250 k |
RC | Resistance | 2.5 k |
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Liu, J.; Tian, H.; Wang, Z.; Guan, Y.; Cao, Z. Dynamical Analysis and Misalignment Projection Synchronization of a Novel RLCM Fractional-Order Memristor Circuit System. Axioms 2023, 12, 1125. https://doi.org/10.3390/axioms12121125
Liu J, Tian H, Wang Z, Guan Y, Cao Z. Dynamical Analysis and Misalignment Projection Synchronization of a Novel RLCM Fractional-Order Memristor Circuit System. Axioms. 2023; 12(12):1125. https://doi.org/10.3390/axioms12121125
Chicago/Turabian StyleLiu, Jindong, Huaigu Tian, Zhen Wang, Yan Guan, and Zelin Cao. 2023. "Dynamical Analysis and Misalignment Projection Synchronization of a Novel RLCM Fractional-Order Memristor Circuit System" Axioms 12, no. 12: 1125. https://doi.org/10.3390/axioms12121125