Accurate Synchronization of Digital and Analog Chaotic Systems by Parameters Re-Identification
Abstract
:1. Introduction
2. Materials and Methods: Identification of Rössler Oscillator Analog Model
- The record was divided into smaller pieces. Sequences of 400, 800, and 1200 points were used.
- A system with approximate parameters was simulated using the 8th order semi-implicit ECD method [18] to obtain the same number of points as the reference record had. Then a total root mean square error was calculated using the following weighted formula:
- The weight coefficients enhanced the convergence of the optimization algorithm.
3. Digital–Analog Chaotic Oscillators Synchronization
4. Discussion and Conclusions
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
Appendix A
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Synchronized Couple | RMS Error, % |
---|---|
Analog–analog | 1.4 |
Analog–digital with manual tuning | 0.6 |
Analog–digital with identification | 0.36 |
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Karimov, T.; Butusov, D.; Andreev, V.; Karimov, A.; Tutueva, A. Accurate Synchronization of Digital and Analog Chaotic Systems by Parameters Re-Identification. Electronics 2018, 7, 123. https://doi.org/10.3390/electronics7070123
Karimov T, Butusov D, Andreev V, Karimov A, Tutueva A. Accurate Synchronization of Digital and Analog Chaotic Systems by Parameters Re-Identification. Electronics. 2018; 7(7):123. https://doi.org/10.3390/electronics7070123
Chicago/Turabian StyleKarimov, Timur, Denis Butusov, Valery Andreev, Artur Karimov, and Aleksandra Tutueva. 2018. "Accurate Synchronization of Digital and Analog Chaotic Systems by Parameters Re-Identification" Electronics 7, no. 7: 123. https://doi.org/10.3390/electronics7070123