Chaos control and circuit implementation of a class of double‐wing chaotic system

Abstract

The objective of this paper is to investigate stabilization problem of a class of double-wing chaotic system and its circuit implementation. On the basis of a skillful method, a single-state controller is proposed and analyzed. Comparing with recent works, the control scheme and its circuit implementation presented in this work are very simple and skillful. The circuit realization of the chaotic system and the control scheme are provided in detail. In addition, the numerical simulation, electrical simulation, and physical experiment results are discussed and presented to verify the effectiveness of the proposed control method.

Chaos synchronization using q-Chlodowsky operators as uncertainty approximator

“…Moreover, in some chemical reactions, chaos has been discovered and studied (Kol’tsov & Fedotov, 2018; Karmakar et al, 2020; Lim et al, 2020). Also, nonlinear electrical circuits have chaotic features, and based on this property, various oscillators are built (Fan et al, 2019; Hu et al, 2017; Samardzic and Zlatkovic, 2017). In medical sciences, chaos has been reported and studied in heart problems, cancers, and other diseases (Borah et al, 2021; Gupta et al, 2021; Priyanga et al, 2021).…”

Szasz-Favard-Mirakyan operators for Chaos synchronization: An Observer-based approach

“…Also, chaos has been revealed and discussed in some chemical reactions (Kol’tsov and Fedotov, 2018; Karmakar et al, 2020; Lim et al, 2020). Moreover, various oscillators have been built based on chaotic features of the nonlinear electrical circuits (Fan et al, 2019; Hu et al, 2017; Samardzic and Zlatkovic, 2017). In medical sciences, many diseases such as heart disorders, cancers, and other ones have been studied in detail by chaos (Borah et al, 2021; Gupta et al, 2021; Priyanga et al, 2021).…”

Design of a Nonhomogeneous Nonlinear Synchronizer and Its Implementation in Reconfigurable Hardware

“…A wide variety of chaotic systems have been implemented in circuits [29][30][31][32][33], this class of circuit implementations have certain disadvantages, such as the fact that they need very large changes in case the system wants to be modified. FPGAs have shown great flexibility in this regard [34][35][36] and although the original system changes, the only significant change is the reprogramming of the FPGA, which represents a great advantage when working on prototyping of new applications, a situation that represents cost savings and implementation times.…”