Acta Physica Sinica, Volume. 68, Issue 24, 240502-1(2019)

Lorenz chaotic system generated from Shimizu-Morioka system or Finance system: Differential geometric approach

Duan Zhang1、*, Jia-Qin Shi1, Ying Sun2, Xu-Hua Yang1, and Lei Ye1
Author Affiliations
  • 1College of Computer Science and Technology, Zhejiang University of Technology, Hangzhou 310023, China
  • 2College of Civil Engineering and Architecture, Zhejiang Sci-Tech University, Hangzhou 310018, China
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    Figures & Tables(8)
    Trajectory of the Lorenz system.Lorenz系统轨迹
    Trajectory of the controlled Shimizu-Morioka system受控Shimizu-Morioka系统轨迹
    Scale control input for the controlled Shimizu-Morioka system.受控Shimizu-Morioka系统的标量控制输入
    Trajectory of the controlled Shimizu-Morioka system via the state transformation .经状态变换受控Shimizu-Morioka系统轨迹
    Trajectory of the controlled Finance system.受控Finance系统轨迹
    Scale control input for the controlled Finance system受控Finance系统的标量控制输入
    Trajectory of the controlled Shimizu-Morioka system via the state transformation .经状态变换受控Finance系统轨迹
    Error between the trajectory of the Lorenz system and that of the controlled Finance system via the state transformation .Lorenz系统轨迹与经状态变换的受控Finance系统的误差
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    Duan Zhang, Jia-Qin Shi, Ying Sun, Xu-Hua Yang, Lei Ye. Lorenz chaotic system generated from Shimizu-Morioka system or Finance system: Differential geometric approach[J]. Acta Physica Sinica, 2019, 68(24): 240502-1

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    Paper Information

    Received: Jun. 13, 2019

    Accepted: --

    Published Online: Sep. 17, 2020

    The Author Email:

    DOI:10.7498/aps.68.20190919

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