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Zero-Hopf bifurcation in a 3D jerk system [PDF]
Nonlinear Analysis: Real World Applications, 2021 We consider the 3-D system defined by the jerk equation $\dddot{x} = -a \ddot{x} + x \dot{x}^2 -x^3 -b x + c \dot{x}$, with $a, b, c\in \mathbb{R}$. When $a=b=0$ and $c < 0$ the equilibrium point localized at the origin is a zero-Hopf equilibrium. We analyse the zero-Hopf Bifurcation that occur at this point when we persuade a quadratic perturbation
Francisco Braun, Ana C. Mereu
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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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On the Effect of the End-effector Point Trajectory on the Joint Jerk of the Redundant Manipulators [PDF]
Journal of Applied and Computational Mechanics, 2021 This paper is focused on investigating the joints jerk of industrial serial redundant manipulators with 6 degrees of freedom (6-DOF) under the variation of the end-effector point (EEP) trajectory in the workspace. The EEP trajectories are initially built
Xuan Bien Duong
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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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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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In-Wheel Two-Speed AMT with Selectable One-Way Clutch for Electric Vehicles
Actuators, 2021 To improve the efficiency of the electric vehicle (EV) drive systems and EV performance, the use of multi-speed transmissions and distributed drives has been studied extensively.
Dele Meng +3 more
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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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Dissociated jerk-limited trajectory applied to time-varying vibration reduction [PDF]
, 2013 Jerk-limited trajectories are a widespread solution for the trajectory planning of industrial machines Tools or robots. It is known that jerk limitation can reduce vibrations and in some cases can totally suppress residual vibration induced by a lightly ...
BEAREE, Richard, OLABI, Adel
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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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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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