Results 11 to 20 of about 24,840,538 (322)
Electronics (Switzerland), 2023 This paper introduces a new chaotic jerk system with three cubic nonlinear terms. The stability properties of the three equilibrium points of the proposed jerk system are analyzed in detail.
S. Vaidyanathan +10 more
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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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Multi-Scroll Attractor and Multi-Stable Dynamics of a Three-Dimensional Jerk System
Energies, 2023 A multi-scroll attractor reflects the structural diversity of the dynamic system, and multi-stability behavior reflects its state diversity. Multi-scroll and multi-stability chaotic systems can produce complex random sequences, which have important ...
Fudong Li, Jingru Zeng
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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 +3 more
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Simulation Study of The Jerk System Based on Multisim
Journal of Physics: Conference Series, 2023 Abstract Make an equivalent transformation of the equations of state for a class of Jerk systems, its chaotic dynamics behavior was analyzed. According to the equation of state, the schematic diagram of the chaotic circuit of the Jerk system was designed, and the Jerk circuit was simulated and experimented with Multisim software, and the
Ensheng Lv
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A Unifying Model-Based Hypothesis for the Diverse Waveforms of Infantile Nystagmus Syndrome [PDF]
Journal of Eye Movement Research, 2011 We expanded the original behavioral Ocular Motor System (OMS) model for Infantile Nystagmus Syndrome (INS) by incorporating common types of jerk waveforms within a unifying mechanism.
Zhong I. Wang, Louis F. Dell'Osso
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Scientific ReportsIn this paper, we introduce a category of Novel Jerk Chaotic (NJC) oscillators featuring symmetrical attractors. The proposed jerk chaotic system has three equilibrium points. We show that these equilibrium points are saddle-foci points and unstable.
Aceng Sambas +10 more
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Zero-Hopf bifurcation in a 3D jerk system [PDF]
Nonlinear Analysis: Real World Applications, 2021 We consider the 3-D system defined by the jerk equation $\dddot{x} = -a \ddot{x} + x \dot{x}^2 -x^3 -b x + c \dot{x}$, with $a, b, c\in \mathbb{R}$. When $a=b=0$ and $c < 0$ the equilibrium point localized at the origin is a zero-Hopf equilibrium. We analyse the zero-Hopf Bifurcation that occur at this point when we persuade a quadratic perturbation
Francisco Braun, Ana C. Mereu
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A new multistable jerk chaotic system, its bifurcation analysis, backstepping control-based synchronization design and circuit simulation [PDF]
Archives of Control Sciences, 2022 In this work, we present results for a new dissipative jerk chaotic system with three quadratic terms in its dynamics.We describe the bifurcation analysis for the new jerk system and also show that the proposed system exhibits multi-stability.
Sundarapandian Vaidyanathan +2 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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