Dynamical Behavior Analysis and Control of a Fractional-order Discretized Tumor Model

被引:0
|
作者
Zhang, Yaling [1 ]
Zhang, Xiaodan [1 ]
Zhang, Yinghan [1 ]
机构
[1] Univ Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R China
关键词
fractional-order; cancer model; Discretization; chaos; feedback control; BIFURCATION;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this work, we constructed a new fractional-order dynamical model of tumor and apply Euler method to obtain the discrete system. Local stability of the fixed points of the discretized system is studied. Numerical simulations show the chaotic attractor and the richer dynamical behavior of the discretized system. Linear feedback control method is used to control chaos in the considered discretized system. Numerical simulations results show that the controller can control the chaos effectively.
引用
收藏
页码:163 / 168
页数:6
相关论文
共 50 条
  • [31] Dynamical analysis, control, boundedness, and prediction for a fractional-order financial risk system
    Yang, Kehao
    Zheng, Song
    Yu, Tianhu
    Sambas, Aceng
    Johansyah, Muhamad Deni
    Saberi-Nik, Hassan
    Mohamed, Mohamad Afendee
    CHINESE PHYSICS B, 2024, 33 (11)
  • [32] Dynamical behavior of a fractional order SIR model with stability analysis
    Paul, Subrata
    Mahata, Animesh
    Mukherjee, Supriya
    Mali, Prakash Chandra
    Roy, Banamali
    RESULTS IN CONTROL AND OPTIMIZATION, 2023, 10
  • [33] Chaotic behavior of a class of discontinuous dynamical systems of fractional-order
    Danca, Marius-F.
    NONLINEAR DYNAMICS, 2010, 60 (04) : 525 - 534
  • [34] Chaotic behavior of a class of discontinuous dynamical systems of fractional-order
    Marius-F. Danca
    Nonlinear Dynamics, 2010, 60 : 525 - 534
  • [35] Dynamical behavior of a fractional-order epidemic model for investigating two fear effect functions
    Thirthar, Ashraf Adnan
    Abboubakar, Hamadjam
    Alaoui, Abdesslem Lamrani
    Nisar, Kottakkaran Sooppy
    RESULTS IN CONTROL AND OPTIMIZATION, 2024, 16
  • [36] Fractional-Order Memristive Wilson Neuron Model: Dynamical Analysis and Synchronization Patterns
    Vivekanandan, Gayathri
    Mehrabbeik, Mahtab
    Natiq, Hayder
    Rajagopal, Karthikeyan
    Tlelo-Cuautle, Esteban
    MATHEMATICS, 2022, 10 (16)
  • [37] The fractional-order marriage–divorce mathematical model: numerical investigations and dynamical analysis
    Mohammad Izadi
    Pundikala Veeresha
    Waleed Adel
    The European Physical Journal Plus, 139
  • [38] The analytical analysis of nonlinear fractional-order dynamical models
    Xu, Jiabin
    Khan, Hassan
    Shah, Rasool
    Alderremy, A. A.
    Aly, Shaban
    Baleanu, Dumitru
    AIMS MATHEMATICS, 2021, 6 (06): : 6201 - 6219
  • [39] Dynamical analysis of fractional-order tobacco smoking model containing snuffing class
    Alrabaiah, Hussam
    Zeb, Anwar
    Alzahrani, Ebraheem
    Shah, Kamal
    ALEXANDRIA ENGINEERING JOURNAL, 2021, 60 (04) : 3669 - 3678
  • [40] Kinetic Behavior and Optimal Control of a Fractional-Order Hepatitis B Model
    Xue, Tingting
    Fan, Xiaolin
    Xu, Yan
    MATHEMATICS, 2023, 11 (17)