Results 11 to 20 of about 12,180 (288)
A novel 3-D jerk chaotic system with three quadratic nonlinearities and its adaptive control
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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Archives of Control Sciences, 2014 In this research work, a six-term 3-D novel jerk chaotic system with two hyperbolic sinusoidal nonlinearities has been proposed, and its qualitative properties have been detailed.
Vaidyanathan Sundarapandian +4 more
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A new 3-D jerk chaotic system with two cubic nonlinearities and its adaptive backstepping control
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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Applied Sciences, 2021 In this work, we propose a convenient method for evaluating levels of angular jerk in augmented reality (AR) and virtual reality (VR). Jerk is a rarely analyzed metric in usability studies, although it can be measured and calculated easily with most head-
Jared Van Dam +3 more
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Jerk forms dynamics of a Chua’s family and their new unified circuit implementation
IET Circuits, Devices and Systems, 2021 A scheme to implement the Jerk form of the Chua system family using a controllable canonical form applied in linear systems is proposed. The main thought is that the nonlinear function with a single independent variable input can be superposed by a ...
Wei Xu, Ning Cao
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A new chaotic jerk system with a sinusoidal nonlinearity, its bifurcation analysis, multistability, circuit design and complete synchronization design via backstepping control [PDF]
Archives of Control SciencesIn this research work, we investigate a new three-dimensional jerk system with three parameters in which one of the nonlinear terms is a sinusoidal nonlinearity.
Sundarapandian VaidyanathaN +5 more
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A Chaotic Jerk System with Different Types of Equilibria and its Application in Communication System
Tehnički vjesnik, 2020 In this paper, a new jerk system is designed. This system can display different characters of equilibrium points according to the value of its parameters. The proposed nonlinear oscillator can have both self-excited and hidden attractors. Dynamical properties of this system are investigated with the help of eigenvalues of equilibria, Lyapunov exponents'
Rajagopal, Karthikeyan +5 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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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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Chaos Theory and Applications, 2021 An effective design procedure has been introduced for implementing the fractional order integrator structures with a modified low pass filters (LPFs) and its functionality is verified by realizing a fractional-order chaotic system. In these applications,
Nimet Korkmaz, İbrahim Ethem Saçu
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