Periodic Solutions Bifurcating From a Curve of Singularity of the Jerk System
Zanco Journal of Pure and Applied Sciences, 2020 We investigate a periodic solution which bifurcates from a curve of the singularity of the jerk system in .More precisely, we give the explicit states for the existence of a periodic solution of the jerk system with a nonisolated singular point, where ...
Niazy Hady Hussein
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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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A new 3-D jerk chaotic system with two cubic nonlinearities and its adaptive backstepping control
Archives of Control Sciences, 2017 This paper presents a new seven-term 3-D jerk chaotic system with two cubic nonlinearities. The phase portraits of the novel jerk chaotic system are displayed and the qualitative properties of the jerk system are described.
Vaidyanathan Sundarapandian
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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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A new modified WINDMI jerk system with exponential and sinusoidal nonlinearities, its bifurcation analysis, multistability, circuit simulation and synchronization design [PDF]
Archives of Control SciencesIn this work, a new 3-D modified WINDMI chaotic jerk system with exponential and sinusoidal nonlinearities is presented and its dynamical behaviours and properties are investigated.
Mohamad Afendee Mohamed +4 more
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Merging support system suppressing the jerk under the constraint of the merging zone
Nihon Kikai Gakkai ronbunshu, 2022 Merging in a highway is one of the most difficult driving tasks. In lane changing and merging, drivers consider about safety and longitudinal ride comfort. In addition, drivers must finish merging in the merging zone.
Kazuhiro NISHIWAKI +2 more
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MIMO jerk derivative feedforward for motion systems [PDF]
2006 American Control Conference, 2006 This paper shows that flexible modes in motion systems result in residual dynamics that can not be reduced using conventional acceleration feedforward and static decoupling. When reference trajectories with low frequency excitation are applied, low frequency tracking errors and cross-talk errors occur as peaks during jerk phases of a motion.
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Noncommutative Sprott systems and their jerk dynamics [PDF]
Modern Physics Letters A, 2018 In this paper, we provide the noncommutative Sprott models. We demonstrate, that effectively, each of them is described by a system of three complex, ordinary and nonlinear differential equations. Apart from that, we find for such modified models the corresponding (noncommutative) jerk dynamics as well as we study numerically as an example, the ...
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Dynamical behavior of a new jerk system inspired from chaotic memory oscillators [PDF]
Archives of Control SciencesThis paper constructs a six-term new simple 3D jerk system modeled by chaotic model memory oscillators with four parameters that control the behavior. The suitable choice of one of these parameters helps the system describe behavior and attractors.
Saad Fawzi Al-Azzawi
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IEEE Access, 2020 Although chaotic systems with self-excited and hidden attractors have been discovered recently, there are few investigations about relationships among them. In this paper, using a systematic exhaustive computer search, three elementary three-dimensional (
Irfan Ahmad, Banlue Srisuchinwong
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