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    Dynamical Features and Complete Synchronization of Unified Chaotic Systems With Caputo-Hadamard Fractional Derivative 

    Source: Journal of Computational and Nonlinear Dynamics:;2025:;volume( 020 ):;issue: 003:;page 31001-1
    Author(s): Yin, Chuntao; Zhao, Yufei; Chen, Yangquan; Shen, Yongjun
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This paper investigates the dynamical characteristics and synchronization of a unified chaotic system described by Caputo–Hadamard fractional derivative. The equilibrium solutions of the considered system are first analyzed ...
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    Primary Resonance of Dry Friction Oscillator With Fractional Order Proportional Integral Derivative Controller of Velocity Feedback 

    Source: Journal of Computational and Nonlinear Dynamics:;2016:;volume( 011 ):;issue: 005:;page 51027
    Author(s): Shen, Yongjun; Niu, Jiangchuan; Yang, Shaopu; Li, Sujuan
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The classical massonmovingbelt model describing frictioninduced vibration is studied. The primary resonance of dryfriction oscillator with fractionalorder PID (FOPID) controller of velocity feedback is investigated by ...
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    Primary Resonance of Computer Numerical Control Worktable With Clearance and Friction 

    Source: Journal of Computational and Nonlinear Dynamics:;2020:;volume( 015 ):;issue: 010:;page 0101001-1
    Author(s): Niu, Jiangchuan; Zhao, Zhishuang; Shen, Yongjun; Yang, Shaopu
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Computer numerical control (CNC) worktable is the most important part of CNC machines. The CNC worktable exhibits complex nonlinear dynamic behaviors in the milling process. The physical model and mathematical model of CNC ...
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