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On the Integrability of the Sprott Cubic Conservative Jerk System
International Journal of Bifurcation and ChaosWe consider the Sprott cubic conservative jerk differential equation [Formula: see text] with [Formula: see text]. It is known that this differential equation exhibits chaotic motion for some values of the parameter a. Here, we study when this differential equation has no chaotic motion, i.e.
Sarbast Hussein, Jaume Llibre
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Circuit realization of a fractional-order chaotic jerk system
2017 6th International Conference on Modern Circuits and Systems Technologies (MOCAST), 2017In this paper, the analysis, design and circuit synthesis of a fractional-order form of a chaotic jerk system is presented. The proposed system is one of the simplest member of the jerk system's family, because it has the least number of terms, one of which is the unique nonlinear term of the system. For the first time, the hyperbolic sine term is used
Christos K. Volos +5 more
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Realization of Higher-Order Hyperchaotic Jerk System
2021This research article suggests a novel method for realization of the higher-order chaotic jerk system. Proposed topology presents an idea for obtaining the nth-order chaotic system by using traditional cascading method. The generalized nth-order chaotic model is implemented with few passive components using integrator and summer amplifier with a sine ...
Manoj Joshi, Vivek Bhatt, Ashish Ranjan
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A Memristive Hyperchaotic Multiscroll Jerk System with Controllable Scroll Numbers
International Journal of Bifurcation and Chaos, 2017A memristor is the fourth circuit element, which has wide applications in chaos generation. In this paper, a four-dimensional hyperchaotic jerk system based on a memristor is proposed, where the scroll number of the memristive jerk system is controllable.
Chunhua Wang 0001, Hu Xia, Ling Zhou
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A New Chaotic Jerk System with Double-Hump Nonlinearity
Journal of Circuits, Systems and Computers, 2020In this paper, we report a new third-order chaotic jerk system with double-hump (bimodal) nonlinearity. The bimodal nonlinearity is of basic interest in biology, physics, etc. The proposed jerk system is able to exhibit chaotic response with proper choice of parameters.
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The Cusp Bifurcation of a Jerk System
International Journal of Bifurcation and ChaosIn this paper, using smooth invertible variable transformations and smooth invertible parameter changes, we construct a jerk normal form for the cusp bifurcation of a jerk system with two parameters which displays a nondegenerate fold bifurcation.
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Active Suspension Systems With Optimal Jerk Control
Volume 2: Automotive Systems, Bioengineering and Biomedical Technology, Fluids Engineering, Maintenance Engineering and Non-Destructive Evaluation, and Nanotechnology, 2006An active suspension system should be designed/optimized in conjunction with the tradeoff between ride and handling. In recent years, jerk as a measure of ride quality is considered in performance index. In this paper, effects of jerk in active suspension system for a 1/4 car model is investigated.
M. Taghipour +2 more
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A unique jerk system with hidden chaotic oscillation
Nonlinear Dynamics, 2016An equilibrium-free piecewise linear jerk system is obtained by a signum operation based on the Sprott R system, which gives hidden oscillation of large basin of attraction. The new proposed chaotic system has a unique structure with an independent parameter for partial amplitude control, which experimentally can be realized in the circuit by a ...
Peng Li +4 more
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Jerk and loss minimization in electric elevator systems
2014 International Conference on Circuits, Systems, Communication and Information Technology Applications (CSCITA), 2014Elevator systems have become one of the main connected loads of the present era. This paper reports methods to make the elevator systems more comfortable and efficient. The comfort is assured by smoothening of the speed profile through predefined non-instantaneous jerk pattern.
null Shreelakshmi M P, Vivek Agarwal
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A physical interpretation of fractional-order-derivatives in a jerk system: Electronic approach
Communications in Nonlinear Science and Numerical Simulation, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
José Luis Echenausía-Monroy +4 more
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