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The Cusp Bifurcation of a Jerk System
International Journal of Bifurcation and ChaosIn this paper, using smooth invertible variable transformations and smooth invertible parameter changes, we construct a jerk normal form for the cusp bifurcation of a jerk system with two parameters which displays a nondegenerate fold bifurcation.
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Generalized projective synchronization of n-Scroll chaotic jerk system
2009 International Conference on Communications, Circuits and Systems, 2009Multi-scroll chaotic system has found important applications as broadband signal generator and true pseudorandom number generator for communication engineering. In this paper, an active control method is proposed to projective-synchronize two n-scroll chaotic Jerk systems.
Bocheng Bao +3 more
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Interior Crisis Route to Extreme Events in a Memristor-Based 3D Jerk System
International Journal of Bifurcation and Chaos in Applied Sciences and EngineeringIn dynamical systems, events that deviate significantly from usual or expected behavior are referred to as extreme events. This paper investigates the mechanism of extreme event generation in a 3D jerk system based on a generalized memristive device.
Gayathri Vivekanandan +4 more
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Minimum-jerk trajectory generation for master-slave robotic system
2012 4th IEEE RAS & EMBS International Conference on Biomedical Robotics and Biomechatronics (BioRob), 2012This paper describes a trajectory generation method for a master-slave surgical robotic system. Because the data from the master system is intermittent due the limited master-slave communication rate, interpolation is required to achieve smooth motion of the slave robot. In particular, real-time interpolation is crucial for surgical systems.
Shinichi Tanaka +5 more
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Impulsive homoclinic chaos in Van der Pol Jerk system
Transactions of Tianjin University, 2010A 3D continuous autonomous chaotic system is reported, which contains a cubic term and six system parameters. Basic dynamic properties of the new Van der Pol Jerk system are studied by means of theoretical analysis and numerical simulation. Based on the Silnikov theorem, the chaotic characterisitics of the dynamic system are discussed.
Yumei Ding, Qichang Zhang
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APPLICATION OF UNCERTAIN JERK CHAOTIC SYSTEMS IN SECURE COMMUNICATION SYSTEM
Galaxy International Interdisciplinary Research JournalThis paper first proposes a global exponential state estimator for uncertain jerk chaotic systems. Then, based on the above state estimators, a chaotic secure communication system with multiple security effects is planned to be designed. The transmission signal and the recovery signal of this secure communication system will be synchronized in an ...
Yeong-Jeu Sun +5 more
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Backstepping Controller Design for the Global Chaos Synchronization of Sprott's Jerk Systems
Chaos Modeling and Control Systems Design, 2015S. Vaidyanathan, B. Idowu, A. Azar
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New fuel consumption model considering vehicular speed, acceleration, and jerk
Journal of Intelligent Transportation Systems / Taylor & Francis, 2023Licheng Zhang +3 more
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Spray Characteristics of a Jerk-Pump Fuel-Injection System
Journal of Fluids Engineering, 1933Abstract Tests were conducted with special spray-research apparatus in the Oil Spray Laboratory at Pennsylvania State College, aided by the loan of jerk-pump injection equipment. The application of the conclusions reached is summarized as follows: Variables that could be changed in engine installation are speed, load, and nozzle-opening ...
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Multi-Scroll Expansion of 3D and 4D Jerk Systems and its DSP Implement
Zhongguó wùli xuékanJingxu Zhang +3 more
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