Results 21 to 30 of about 12,180 (288)
On Hopf and Fold Bifurcations of Jerk Systems
Mathematics, 2023 In this paper we consider a jerk system x˙=y,y˙=z,z˙=j(x,y,z,α), where j is an arbitrary smooth function and α is a real parameter. Using the derivatives of j at an equilibrium point, we discuss the stability of that point, and we point out some local codim-1 bifurcations.
Cristian Lăzureanu, Jinyoung Cho
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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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Feedrate planning for machining with industrial six-axis robots [PDF]
, 2010 The authors want to thank Stäubli for providing the necessary information of the controller, Dynalog for its contribution to the experimental validations and X.
BEAREE, Richard +3 more
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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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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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, 2022 In this work, we announce a new 3-D jerk system and show that it is chaotic and dissipative with the calculation of the Lyapunov exponents of the system.
Abd-El-Atty, Bassem +4 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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