Circuit Realization of the Fractional-Order Sprott K Chaotic System with Standard Components
نویسندگان
چکیده
Interest in studies on fractional calculus and its applications has greatly increased recent years. Fractional-order analysis the potential to enhance dynamic structure of chaotic systems. This study presents implementation a lower-order electronic circuit using standard components for Sprott K system. To our knowledge, there are no realizations literature where value fractional-order parameter is approximately 0.8, making this pioneering aspect. Additionally, various numerical analyses system conducted, including time series phase planes, Lyapunov exponents, spectral entropy (SE), bifurcation diagrams, order examine characteristics complexity. As anticipated, voltage outputs obtained from oscilloscope demonstrated good agreement with both PSpice simulations.
منابع مشابه
Chaotic dynamics and synchronization of fractional order PMSM system
In this paper, we investigate the chaotic behaviors of the fractional-order permanent magnet synchronous motor (PMSM) system. The necessary condition for the existence of chaos in the fractional-order PMSM system is deduced and an active controller is developed based on the stability theory for fractional systems. The presented control scheme is simple and flexible, and it is suitable both fo...
متن کاملA New Fractional-Order Chaotic System and Its Synchronization with Circuit Simulation
A new fractional-order chaotic system is proposed in this paper, and a list of state trajectories is presented with fractional derivative of different areas. Furthermore, a circuit diagram is studied to realize the fractional-order chaotic system. The new fractional-order chaotic system can be controlled to reach synchronization based on the nonlinear control theory, and the results between num...
متن کاملchaotic dynamics and synchronization of fractional order pmsm system
in this paper, we investigate the chaotic behaviors of the fractional-order permanent magnet synchronous motor (pmsm) system. the necessary condition for the existence of chaos in the fractional-order pmsm system is deduced and an active controller is developed based on the stability theory for fractional systems. the presented control scheme is simple and flexible, and it is suitable both fo...
متن کاملAnalysis and Circuit Realization of a New Autonomous Chaotic System
Recently many chaotic circuits are designed to generate chaos. The ability to synchronize chaotic circuits opens number of ways to use them in signal masking applications. This paper gives a brief overview of three dimensional autonomous chaotic systems which is represented by simple quadratic differential equations. A new autonomous chaotic system is introduced and compared with some existing ...
متن کاملActive Controller Design for the Output Regulation of Sprott-k Chaotic System
This paper derives new results on the active controller design for the output regulation problem of the Sprott-K chaotic system, which is one of the classical chaotic systems discovered by J.C. Sprott (1994). Explicitly, for the constant tracking problem, new state feedback control laws have been derived for regulating the output of the Sprott-K chaotic system. The output regulation of the Spro...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Fractal and fractional
سال: 2023
ISSN: ['2504-3110']
DOI: https://doi.org/10.3390/fractalfract7060470