Results 201 to 210 of about 24,647,880 (243)
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Circuit realization of a fractional-order chaotic jerk system
2017 6th International Conference on Modern Circuits and Systems Technologies (MOCAST), 2017In this paper, the analysis, design and circuit synthesis of a fractional-order form of a chaotic jerk system is presented. The proposed system is one of the simplest member of the jerk system's family, because it has the least number of terms, one of which is the unique nonlinear term of the system. For the first time, the hyperbolic sine term is used
Christos K. Volos +5 more
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Dynamics of Fractional-Order Chaotic Rocard Relaxation Econometric System
International Journal of Bifurcation and Chaos, 2022The chaotic Rocard relaxation econometric system was proposed earlier than the Lorenz system. In this paper, the fractional-order Rocard system is investigated and its dynamical behaviors are analyzed by bifurcation diagram, Lyapunov exponent and spectral entropy (SE) complexity.
Zhao Yao, Kehui Sun, Shaobo He 0001
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SYNCHRONIZATION AND GENERALIZED SYNCHRONIZATION OF FRACTIONAL ORDER CHAOTIC SYSTEMS
Modern Physics Letters B, 2009In this paper, based on the modified state observer method, synchronization and generalized synchronization of a class of fractional order chaotic systems are presented. The two synchronization approaches are theoretically and numerically studied and two simple criterions are proposed.
Wang, Xing-Yuan, Zhang, Jing
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The Synchronization of a Fractional-Order Chaotic System
Advanced Materials Research, 2013In this paper, the synchronization of fractional-orderchaotic system is studied. Based on the fractional stability theory, suitable controller is designed to realize the synchronization between fractional-order system and a integer-order system. Numerical simulations show that the effectiveness and feasibility of the controllers .
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Chaotic synchronization for a class of fractional-order chaotic systems
Chinese Physics, 2007In this paper, a very simple synchronization method is presented for a class of fractional-order chaotic systems only via feedback control. The synchronization technique, based on the stability theory of fractional-order systems, is simple and theoretically rigorous.
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Controller design for fractional order chaotic Lu system
2012 American Control Conference (ACC), 2012In this paper, two synthesis approaches are proposed to stabilize the fractional order chaotic Lu system. In the first approach, the equilibrium point of the system is stabilized locally while the second approach is based on the Lyapunov technique which guarantees global asymptotically stability of the origin.
Elham Amini Boroujeni +2 more
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Synchronization of fractional order chaotic systems
Physics Letters A, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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GENERALIZED SYNCHRONIZATION OF NONIDENTICAL FRACTIONAL-ORDER CHAOTIC SYSTEMS
International Journal of Modern Physics B, 2013In this paper, a chaotic synchronization scheme is proposed to achieve the generalized synchronization between two different fractional-order chaotic systems. Based on the stability theory of fractional-order systems and the pole placement technique, a controller is designed and theoretical proof is given.
Wang, Xing-Yuan, Hu, Zun-Wen, Luo, Chao
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Fractional-Order Chaotic Systems
2011This contribution deals with the fractional-order chaotic systems. A survey of the chaotic systems, where total order of the system is less than 3 is presented. With using a fractional derivative a chaos can be observed in such system in spite of usual notation that chaos can occur in system with order 3 and more.
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FPGA implementation of fractional-order Chua's chaotic system
2018 7th International Conference on Modern Circuits and Systems Technologies (MOCAST), 2018This paper introduces FPGA implementation of fractional order double scrolls chaotic system based on Chua circuit. Grunwald-Letnikov's (GL) definition is used to generalize the chaotic system equations into the fractional-order domain. Xilinx ISE 14.5 is used to simulate the proposed design and Artix-7 XC7A100T FPGA is used for system realization ...
Ahmed J. Abd El-Maksoud +8 more
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