• DocumentCode
    3353828
  • Title

    Visualizing Non-linear Ordinary Differential Dynamic System Using Simulink

  • Author

    Gao, Xiang-Min ; Pang, Ming-Yong

  • Author_Institution
    Dept. of Educ. Technol., Nanjing Normal Univ., Nanjing, China
  • Volume
    1
  • fYear
    2009
  • fDate
    28-30 Oct. 2009
  • Firstpage
    589
  • Lastpage
    593
  • Abstract
    It is very important to research non-linear ordinary differential dynamic systems (DDS) by using numerical and visualizing methods. In this paper, taking the famous Duffing´s equation as an example, we introduce some visualization skills for visualizing the non-linear DDS based on the Simulink platform. We present a set of rendering methods for phase diagram, Poincare¿´s mapping, bifurcation graph, correlative dimension of chaotic attractors, etc. The methods and skills presented in the paper can be used in analyzing various non-linear DDS.
  • Keywords
    Poincare mapping; bifurcation; chaos; data visualisation; mathematics computing; nonlinear differential equations; nonlinear dynamical systems; phase diagrams; rendering (computer graphics); Duffing equation; Poincare¿ mapping; Simulink; bifurcation graph; chaotic attractors; correlative dimension; nonlinear ordinary differential dynamic system; phase diagram; rendering methods; visualization skills; Bifurcation; Chaos; Computational modeling; Differential equations; Nonlinear dynamical systems; Nonlinear equations; Numerical simulation; Stochastic systems; Trajectory; Visualization; modelling dynamic system; non-linear dynamic system; ordinary differential equation; simulation; visualization;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computer Science and Engineering, 2009. WCSE '09. Second International Workshop on
  • Conference_Location
    Qingdao
  • Print_ISBN
    978-0-7695-3881-5
  • Type

    conf

  • DOI
    10.1109/WCSE.2009.738
  • Filename
    5403399