Synchronization Limits of Chaotic Circuits [PDF]
, 2014 Through system modeling with electronic circuits, two circuits were constructed that exhibit chaos over a wide ranges of initial conditions. The two circuits were one that modeled an algebraically simple “jerk” function and a resistor-inductor-diode (RLD)
Addison, Stephen R., Church, C. M.
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Jerk and Hyperjerk in a Rotating Frame of Reference [PDF]
, 2015 Jerk is the derivative of acceleration with respect to time and then it is the third order derivative of the position vector. Hyperjerks are the n-th order derivatives with n>3.
Sparavigna, Amelia Carolina
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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. Next, we study the transcritial bifurcation of canonical system.
Bo Sang, Bo Huang
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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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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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The detectability of eccentric binary pulsars [PDF]
, 2013 Studies of binary pulsars provide insight into various theories of physics. Detection of such systems is challenging due to the Doppler modulation of the pulsed signal caused by the orbital motion of the pulsar. We investigated the loss of sensitivity in
Bagchi, Manjari +2 more
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Robust synchronization of a class neutral chaotic systems Despite, unknown time-delay and parameter [PDF]
مجله مدل سازی در مهندسی, 2023 The synchronization of neutral chaotic systems with disturbance, uncertainty, unknown parameters, and unknown delays is studied in this article. Initially, the neutral chaotic system is introduced using the Lyapunov exponent and then the adaptive-robust ...
Amirhosein Rostampour +2 more
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A Cartesian-Based Trajectory Optimization with Jerk Constraints for a Robot
Entropy, 2023 To address the time-optimal trajectory planning (TOTP) problem with joint jerk constraints in a Cartesian coordinate system, we propose a time-optimal path-parameterization (TOPP) algorithm based on nonlinear optimization. The key insight of our approach
Zhiwei Fan +7 more
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High Performance Direct Gravitational N-body Simulations on Graphics Processing Units -- II: An implementation in CUDA [PDF]
, 2007 We present the results of gravitational direct $N$-body simulations using the Graphics Processing Unit (GPU) on a commercial NVIDIA GeForce 8800GTX designed for gaming computers.
Aarseth +19 more
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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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