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Synchronization of chaotic jerk systems

International Journal of Modern Physics B, 2020
Chaotic jerk oscillators belong to the simplest chaotic systems. These systems try to model the behavior of dynamical systems efficiently. Jerk oscillators can be known as the most general systems in science, especially physics. It has been proved that every dynamical system expressed with an ordinary differential equation is able to describe as a ...
Z. Wang   +4 more
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Bursting dynamics in parametrically driven memristive Jerk system

Chinese Journal of Physics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wen, Zihao, Li, Zhijun, Li, Xiang
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Chaotic Jerk Circuit Usage in Communication Systems

2020 IEEE Microwave Theory and Techniques in Wireless Communications (MTTW), 2020
This paper presents a study of chaotic jerk circuit capabilities for communication system applications. The chaotic synchronization is achieved for a specific Sprott chaotic jerk circuit using controlled error feedback. A chaos shift keying (CSK) communication system that uses chaotic synchronization, and a modification of the jerk circuit, necessary ...
Filips Capligins   +4 more
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Equivalent synchronization patterns in chaotic jerk systems

Europhysics Letters, 2022
AbstractJerk systems are some of the simplest dynamical systems that can exhibit chaotic dynamics. This paper investigates the synchronization of coupled jerk systems with coupling in single variables. We apply the well-known approach for synchronization analysis, the master stability function, which determines the stability of the synchronization ...
Simin Mirzaei   +4 more
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Multiple system atrophy with macrosquare‐wave jerks

Movement Disorders, 2004
AbstractMacrosquare‐wave jerks consist of high‐amplitude saccadic intrusions occurring mainly during fixation that are observed in several disease entities, e.g., multiple sclerosis or parkinsonian syndromes, but very rarely in patients with multiple system atrophy.
Luisa, Klotz, Thomas, Klockgether
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Nonlinear Behavior of a Novel Switching Jerk System

International Journal of Bifurcation and Chaos, 2020
This paper proposes a novel chaotic jerk system, which is defined on four domains, separated by codimension-2 discontinuity surfaces. The dynamics of the proposed system are conveniently described and analyzed through a generalization of the Poincaré map which is constructed via an explicit solution of each subsystem.
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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, 2006
An 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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Realization of Higher-Order Hyperchaotic Jerk System

2021
This 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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Analysis of Zero–Hopf Bifurcation in a Simple Jerk System

International Journal of Bifurcation and Chaos, 2023
This work aims to study the zero–Hopf bifurcation of a jerk system with four real parameters. Some sufficient conditions of the emergence of periodic orbit and its stability at zero–Hopf equilibrium point are obtained by averaging theory.
Guo, Biyao   +3 more
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Jerk derivative feedforward control for motion systems

Proceedings of the 2004 American Control Conference, 2004
This work discusses reference trajectory relevant model based feedforward design. For motion systems which contain at least one rigid body mode and which are subject to reference trajectories with mostly low frequency energy, the proposed feedforward controller improves tracking performance significantly. The feedforward controller may be of much lower
Boerlage, M.L.G.   +2 more
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