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Bifurcation and chaos in simple jerk dynamical systems
Pramana - Journal of Physics, 2005In recent years, it is observed that the third-order explicit autonomous differential equation, named as jerk equation, represents an interesting sub-class of dynamical systems that can exhibit many major features of the regular and chaotic motion. In this paper, we investigate the global dynamics of a special family of jerk systems {ie075-01}, whereG ...
Vinod Patidar, Patidar Vinod
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Electronics (Switzerland), 2022 This study aims to demonstrate how to compute the damping coefficient of a continuously variable damper for semi-active preview control suspensions while considering the sprung-mass jerk and the controller’s performance advantage.
Iljoong Youn +2 more
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Some Jerk Systems with Hidden Chaotic Dynamics
International Journal of Bifurcation and Chaos, 2023Hidden chaotic attractors is a fascinating subject of study in the field of nonlinear dynamics. Jerk systems with a stable equilibrium may produce hidden chaotic attractors. This paper seeks to enhance our understanding of hidden chaotic dynamics in jerk systems of three variables [Formula: see text] with nonlinear terms from a predefined set ...
Bingxue Li +5 more
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Analysis of Zero–Hopf Bifurcation in a Simple Jerk System
International Journal of Bifurcation and Chaos, 2023This 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.
Biyao Guo, Yan Zhou, Wei Zhang, Yu Liu
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Synchronization of chaotic jerk systems
International Journal of Modern Physics B, 2020Chaotic 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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Nonlinear Behavior of a Novel Switching Jerk System
International Journal of Bifurcation and Chaos, 2020This 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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Multiple system atrophy with macrosquare‐wave jerks
Movement Disorders, 2004AbstractMacrosquare‐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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Bursting dynamics in parametrically driven memristive Jerk system
Chinese Journal of Physics, 2020zbMATH 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), 2020This 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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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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