Results 1 to 10 of about 24,817,127 (318)
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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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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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 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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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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The chaotic mechanisms in some jerk systems
AIMS Mathematics, 2022 In this work, a five-parameter jerk system with one hyperbolic sine nonlinearity is proposed, in which $ \varepsilon $ is a small parameter, and $ a $, $ b $, $ c $, $ d $ are some other parameters.
Xiaoyan Hu, B. Sang, Ning Wang
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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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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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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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Technologies, 2023 Mechanical jerk systems have applications in several areas, such as oscillators, microcontrollers, circuits, memristors, encryption, etc. This research manuscript reports a new 3-D chaotic jerk system with two unstable balance points.
Sundarapandian Vaidyanathan +4 more
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