Results 21 to 30 of about 5,522 (253)
Bifurcations and chaos of coupled Jerk systems
Wuli Xuebao/Acta Physica Sinica, 2010 Upon the analysis of the equilibrium points as well as the stabilities in coupled Jerk systems, bifurcation sets in parameter space are derived, which divide the parameter space into several regions associated with different forms of dynamics. The dynamical evolution of the coupled system is investigated with the variation of different parameters and ...
Bi Qin-Sheng
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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
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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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Application of Elliptic Jerk Motion Profile to Cartesian Space Position Control of a Serial Robot
Applied Sciences, 2023 The paper discusses the application of a motion profile with an elliptic jerk to Cartesian space position control of serial robots. This motion profile is obtained by means of a kinematic approach, starting from the jerk profile and then calculating ...
Luca Bruzzone, Daniele Stretti
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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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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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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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