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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.
C. Lăzureanu
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Energy function and complex dynamics from a jerk system
Physica Scripta, 2023Abstract Jerk, as a mathematical concept, is used in mechanics to describe the rate of change of acceleration and plays a crucial role in the design of control systems for machines and vehicles. Therefore, it is important to master the various states and the energy released during the change of acceleration. This is why a new simple jerk
Jinhua Yu +4 more
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Chaos, Solitons and Fractals, 2021
Antimonotonicity is used to characterize the specific dynamics for the generation of periodic orbits cascaded by their destruction, which is generally involved with the change of a bifurcation parameter.
B. Bao +5 more
semanticscholar +3 more sources
Antimonotonicity is used to characterize the specific dynamics for the generation of periodic orbits cascaded by their destruction, which is generally involved with the change of a bifurcation parameter.
B. Bao +5 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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Chinese Physics B, 2023
Memristor-based chaotic systems with infinite equilibria are interesting because they generate extreme multistability. Their initial state-dependent dynamics can be explained in a reduced-dimension model by converting the incremental integration of the ...
M. Wang 王, Lingfang 玲芳 Gu 辜
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Memristor-based chaotic systems with infinite equilibria are interesting because they generate extreme multistability. Their initial state-dependent dynamics can be explained in a reduced-dimension model by converting the incremental integration of the ...
M. Wang 王, Lingfang 玲芳 Gu 辜
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Communications in Nonlinear Science and Numerical Simulation, 2018
H. Bao +5 more
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H. Bao +5 more
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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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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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Physica Scripta, 2023
Application of chaos in modeling natural phenomena and encryption encourages researchers to design new chaotic systems with exciting features. Here a chaotic jerk oscillator with different properties is proposed.
Gayathri Vivekanandhan +5 more
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Application of chaos in modeling natural phenomena and encryption encourages researchers to design new chaotic systems with exciting features. Here a chaotic jerk oscillator with different properties is proposed.
Gayathri Vivekanandhan +5 more
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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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