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On the Double-Zero Bifurcation of Jerk Systems
Mathematics, 2023 In this paper, we construct approximate normal forms of the double-zero bifurcation for a two-parameter jerk system exhibiting a non-degenerate fold bifurcation.
Cristian Lăzureanu
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On Hopf and Fold Bifurcations of Jerk Systems
Mathematics, 2023 In this paper we consider a jerk system x˙=y,y˙=z,z˙=j(x,y,z,α), where j is an arbitrary smooth function and α is a real parameter. Using the derivatives of j at an equilibrium point, we discuss the stability of that point, and we point out some local ...
Cristian Lăzureanu, Jinyoung Cho
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On a Family of Hamilton–Poisson Jerk Systems
MathematicsIn this paper, we construct a family of Hamilton–Poisson jerk systems. We show that such a system has infinitely many Hamilton–Poisson realizations. In addition, we discuss the stability and we prove the existence of periodic orbits around nonlinearly ...
Cristian Lăzureanu, Jinyoung Cho
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Chaotic Dynamics by Some Quadratic Jerk Systems [PDF]
Axioms, 2021 This paper is about the dynamical evolution of a family of chaotic jerk systems, which have different attractors for varying values of parameter a. By using Hopf bifurcation analysis, bifurcation diagrams, Lyapunov exponents, and cross sections, both ...
Mei Liu, Bo Sang, Ning Wang, Irfan Ahmad
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Mathematics, 2023 This research paper addresses the modelling of a new 3-D chaotic jerk system with a stable equilibrium. Such chaotic systems are known to exhibit hidden attractors.
Sundarapandian Vaidyanathan +7 more
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From Memristor-Modeled Jerk System to the Nonlinear Systems with Memristor
Symmetry, 2022 Based on the proposed generalized memristor, a new jerk system is proposed. The complex dynamics of the system are investigated by means of bifurcation diagrams, Lyapunov exponents, and MSampEn, and rich dynamics are observed. Moreover, the circuits of the generalized memristor and the jerk system are physically implemented in the hardware level.
Xianming Wu, Shaobo He, Weijie Tan
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A simple memristive jerk system [PDF]
IET Circuits, Devices and Systems, 2021 A simple memristive chaotic jerk system with one variable to represent the internal state is found. The proposed equilibria‐free memristive system yields hidden chaotic oscillation in a narrow parameter space.
Chunbiao Li +3 more
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PIC micro-controller based synchronization of two fractional order jerk systems [PDF]
Scientific Reports, 2022 The paper studies a 3D Chaotic Jerk oscillator with fractional derivatives. An approach is proposed to implement it on a PIC16F877A microcontroller in order to reduce the requirements for multiple analogue electronic components such as resistors ...
Samuel Tagne +3 more
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Simple finite-time sliding mode control approach for jerk systems
Advances in Mechanical Engineering, 2019 This article describes an easy way to apply active control upon all jerk systems for which the linear part of the third-order differential jerk equation strongly depends on acceleration and velocity.
Tekou Nguazon +3 more
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Multiscale Integration of Acceleration and Jerk Sensing in the Vestibular System [PDF]
Audiology ResearchBackground: The vestibular system encodes head motion through specialized Type I and Type II hair cells, which differentially respond to acceleration and its temporal derivative, jerk. Molecular gradients of retinoic acid establish zonal distributions of
Leonardo Manzari
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