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A simple memristive jerk system [PDF]
IET Circuits, Devices and Systems, 2021 A simple memristive chaotic jerk system with one variable to represent the internal state is found. The proposed equilibria‐free memristive system yields hidden chaotic oscillation in a narrow parameter space.
Chunbiao Li +3 more
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Fractal and Fractional, 2021 In this study, we propose a novel fractional-order Jerk system. Experiments show that, under some suitable parameters, the fractional-order Jerk system displays a chaotic phenomenon.
Changjin Xu +5 more
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Hopf Bifurcation of Three-Dimensional Quadratic Jerk System
مجلة بغداد للعلوم, 2023 This paper is devoted to investigating the Hopf bifurcation of a three-dimensional quadratic jerk system. The stability of the singular points, the appearance of the Hopf bifurcation and the limit cycles of the system are studied.
Tahsin I. Rasul , Rizgar H. Salih
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Mathematics, 2023 This research paper addresses the modelling of a new 3-D chaotic jerk system with a stable equilibrium. Such chaotic systems are known to exhibit hidden attractors.
Sundarapandian Vaidyanathan +7 more
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Technologies, 2023 Mechanical jerk systems have applications in several areas, such as oscillators, microcontrollers, circuits, memristors, encryption, etc. This research manuscript reports a new 3-D chaotic jerk system with two unstable balance points.
Sundarapandian Vaidyanathan +4 more
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IEEE Access, 2023 In this paper, we propose a novel 3-D jerk system with three quadratic nonlinear terms and demonstrate the dynamical properties of the proposed jerk system in terms of phase portraits, bifurcation diagrams, Lyapunov exponents, multistability and ...
Talal Bonny +5 more
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A new chaotic jerk system with a sinusoidal nonlinearity, its bifurcation analysis, multistability, circuit design and complete synchronization design via backstepping control [PDF]
Archives of Control SciencesIn this research work, we investigate a new three-dimensional jerk system with three parameters in which one of the nonlinear terms is a sinusoidal nonlinearity.
Sundarapandian VaidyanathaN +5 more
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Analysis of the Dynamics of a $\phi^{6}$ Duffing Type Jerk System
Chaos Theory and Applications, 2023 A theoretically and numerically analysis on Duffing Jerk systems with a sixth-order type potential and a sixth-order potential smoothed by a gaussian function are carried out in this work.
Ulises Uriostegui-legorreta +2 more
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Initial-Condition Effects on a Two-Memristor-Based Jerk System
Mathematics, 2022 Memristor-based systems can exhibit the phenomenon of extreme multi-stability, which results in the coexistence of infinitely many attractors. However, most of the recently published literature focuses on the extreme multi-stability related to memristor ...
Han Bao +4 more
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Zero-Hopf Bifurcations of 3D Quadratic Jerk System [PDF]
Mathematics, 2020 This paper is devoted to local bifurcations of three-dimensional (3D) quadratic jerk system. First, we start by analysing the saddle-node bifurcation. Then we introduce the concept of canonical system.
Bo Sang, Bo Huang
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