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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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From Memristor-Modeled Jerk System to the Nonlinear Systems with Memristor
Symmetry, 2022 Based on the proposed generalized memristor, a new jerk system is proposed. The complex dynamics of the system are investigated by means of bifurcation diagrams, Lyapunov exponents, and MSampEn, and rich dynamics are observed. Moreover, the circuits of the generalized memristor and the jerk system are physically implemented in the hardware level.
Shaobo He, Weijie Tan, Huihai Wang
exaly +2 more sources
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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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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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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Multiscale Integration of Acceleration and Jerk Sensing in the Vestibular System. [PDF]
Audiol ResBackground: The vestibular system encodes head motion through specialized Type I and Type II hair cells, which differentially respond to acceleration and its temporal derivative, jerk. Molecular gradients of retinoic acid establish zonal distributions of these hair cells, prefiguring their functional specialization.
Manzari L.
europepmc +4 more sources
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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Multi-Scroll Attractor and Multi-Stable Dynamics of a Three-Dimensional Jerk System
Energies, 2023 A multi-scroll attractor reflects the structural diversity of the dynamic system, and multi-stability behavior reflects its state diversity. Multi-scroll and multi-stability chaotic systems can produce complex random sequences, which have important ...
Fudong Li, Jingru Zeng
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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
doaj +1 more source