Results 1 to 10 of about 72,753 (202)
On the Double-Zero Bifurcation of Jerk Systems [PDF]
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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Zero-Hopf Bifurcations of 3D Quadratic Jerk System [PDF]
Mathematics, 2020 This paper is devoted to local bifurcations of three-dimensional (3D) quadratic jerk system. First, we start by analysing the saddle-node bifurcation. Then we introduce the concept of canonical system.
Bo Sang, Bo Huang
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Hopf Bifurcation of Three-Dimensional Quadratic Jerk System
مجلة بغداد للعلوم, 2023 This paper is devoted to investigating the Hopf bifurcation of a three-dimensional quadratic jerk system. The stability of the singular points, the appearance of the Hopf bifurcation and the limit cycles of the system are studied.
Tahsin I. Rasul , Rizgar H. Salih
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FPGA-Based Implementation of a New 3-D Multistable Chaotic Jerk System with Two Unstable Balance Points [PDF]
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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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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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 self-excited and hidden attractors are explored.
Mei Liu, Bo Sang, Ning Wang, Irfan Ahmad
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A novel 3-D jerk chaotic system with three quadratic nonlinearities and its adaptive control [PDF]
Archives of Control Sciences, 2016 This paper announces an eight-term novel 3-D jerk chaotic system with three quadratic nonlinearities. The phase portraits of the novel jerk chaotic system are displayed and the qualitative properties of the jerk system are described.
Vaidyanathan Sundarapandian
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Initial-Condition Effects on a Two-Memristor-Based Jerk System [PDF]
Mathematics, 2022 Memristor-based systems can exhibit the phenomenon of extreme multi-stability, which results in the coexistence of infinitely many attractors. However, most of the recently published literature focuses on the extreme multi-stability related to memristor ...
Han Bao +4 more
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From Memristor-Modeled Jerk System to the Nonlinear Systems with Memristor [PDF]
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 +3 more
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A new 3-D jerk chaotic system with two cubic nonlinearities and its adaptive backstepping control [PDF]
Archives of Control Sciences, 2017 This paper presents a new seven-term 3-D jerk chaotic system with two cubic nonlinearities. The phase portraits of the novel jerk chaotic system are displayed and the qualitative properties of the jerk system are described.
Vaidyanathan Sundarapandian
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