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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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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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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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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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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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Zero-Hopf Bifurcations of 3D Quadratic Jerk System
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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On the Double-Zero Bifurcation of Jerk Systems
Mathematics, 2023 In this paper, we construct approximate normal forms of the double-zero bifurcation for a two-parameter jerk system exhibiting a non-degenerate fold bifurcation.
Cristian Lăzureanu
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A new multistable jerk chaotic system, its bifurcation analysis, backstepping control-based synchronization design and circuit simulation [PDF]
Archives of Control Sciences, 2022 In this work, we present results for a new dissipative jerk chaotic system with three quadratic terms in its dynamics.We describe the bifurcation analysis for the new jerk system and also show that the proposed system exhibits multi-stability.
Sundarapandian Vaidyanathan +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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Chaotic Dynamics by Some Quadratic Jerk Systems [PDF]
Axioms, 2021 This paper is about the dynamical evolution of a family of chaotic jerk systems, which have different attractors for varying values of parameter a. By using Hopf bifurcation analysis, bifurcation diagrams, Lyapunov exponents, and cross sections, both self-excited and hidden attractors are explored.
Mei Liu +3 more
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