Numerical Investigation and Comparative Analog Realization of the Sprott 94 F Chaotic System using Op-Amp and CCII Architectures

Abstract

Chaotic systems, despite their deterministic structure, are structures that are highly sensitive to initial conditions and therefore exhibit long-term unpredictable dynamics. Because of these properties, chaotic systems are widely used in various engineering and scientific fields such as cryptography, radar technologies, signal processing, biomedical modelling and random number generation. In this study, the Sprott 94 F chaotic system model is investigated in detail in both numerical analyses and analog environments. The time series and phase portraits of the system are analysed through numerical simulations performed in MATLAB, and to better understand its dynamic structure, the system's chaotic behaviour is verified by calculating bifurcation diagrams and Lyapunov exponents spectrums. On the analog side, the realizability of the model is first evaluated on an analog circuit designed using op-amp components. Subsequently, an alternative circuit design is implemented using Second Generation Current Conveyor (CCII) structures, which offer the advantages of higher frequency performance and wide bandwidth, and the chaotic structure of the system is also investigated on these structures. Numerical analyses and analog results are evaluated comparatively, the chaotic behaviours observed in both analog approaches were consistent with numerical simulations.

Keywords

• Chaos
• Sprott 94 F chaotic system
• Numerical analysis
• Circuit implementation
• CCII

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