Results 21 to 30 of about 72,872 (321)
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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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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Applied Sciences, 2021 In this work, we propose a convenient method for evaluating levels of angular jerk in augmented reality (AR) and virtual reality (VR). Jerk is a rarely analyzed metric in usability studies, although it can be measured and calculated easily with most head-
Jared Van Dam +3 more
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Jerk forms dynamics of a Chua’s family and their new unified circuit implementation
IET Circuits, Devices and Systems, 2021 A scheme to implement the Jerk form of the Chua system family using a controllable canonical form applied in linear systems is proposed. The main thought is that the nonlinear function with a single independent variable input can be superposed by a ...
Wei Xu, Ning Cao
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Chaos Theory and Applications, 2021 An effective design procedure has been introduced for implementing the fractional order integrator structures with a modified low pass filters (LPFs) and its functionality is verified by realizing a fractional-order chaotic system. In these applications,
Nimet Korkmaz, İbrahim Ethem Saçu
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The chaotic mechanisms in some jerk systems
AIMS Mathematics, 2022 <abstract><p>In this work, a five-parameter jerk system with one hyperbolic sine nonlinearity is proposed, in which $ \varepsilon $ is a small parameter, and $ a $, $ b $, $ c $, $ d $ are some other parameters. For $ \varepsilon = 0 $, the system is $ Z_{2} $ symmetric. For $ \varepsilon \neq {0} $, the system loses the symmetry.
Xiaoyan Hu, Bo Sang, Ning Wang
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New Damped-Jerk trajectory for vibration reduction [PDF]
, 2014 This paper derives a jerk-shaped profile to address the vibration reduction of underdamped flexible dynamics of motion system. The jerk-limited profile is a widespread smooth command pattern used by modern motion systems.
BEAREE, Richard
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Archives of Control Sciences, 2014 In this research work, a six-term 3-D novel jerk chaotic system with two hyperbolic sinusoidal nonlinearities has been proposed, and its qualitative properties have been detailed.
Vaidyanathan Sundarapandian +4 more
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Optimal Trajectories for Vibration Reduction Based on Exponential Filters [PDF]
, 2015 In this paper, a new type of trajectory, based on an exponential jerk, is presented along with filters for their online generation. The goal is to generalize constant jerk trajectories, widely used in industrial applications, in order to reduce ...
BIAGIOTTI, Luigi +2 more
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