Chaos solution of torus van der Pol equation using visualization computing

被引:0
|
作者
Zhang, Y.-H.
Xu, Y.-M.
机构
关键词
D O I
暂无
中图分类号
学科分类号
摘要
The paper presents a graphical modeling and visualization computing approach for the torus van der Pol equation. It simulates the whole process of torus van der Pol equation from modeling, experiment to analysis in a graphical environment by use of visualization computing techniques, and builds a visual simulation frame for auto-analyzing moving track of system. It is programming free and can be engaged in intelligent analysis and multiparameter auto-iteration.
引用
收藏
页码:353 / 356
相关论文
共 50 条
  • [1] On a solution of the van der Pol equation
    Kuzmina, RP
    RUSSIAN MATHEMATICAL SURVEYS, 1997, 52 (01) : 224 - 225
  • [2] ON PERIODIC SOLUTION OF VAN DER POL EQUATION
    PONZO, PJ
    WAX, N
    IEEE TRANSACTIONS ON CIRCUIT THEORY, 1965, CT12 (01): : 135 - &
  • [3] Controlling Chaos-Forced van der Pol Equation
    Cooper, Matthew
    Heidlauf, Peter
    Sands, Timothy
    MATHEMATICS, 2017, 5 (04)
  • [4] Analysis of torus breakdown into chaos in a constraint Duffing van der Pol oscillator
    Sekikawa, Munehisa
    Inaba, Naohiko
    Tsubouchi, Takashi
    Aihara, Kazuyuki
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2008, 18 (04): : 1051 - 1068
  • [5] The periodic solution of van der Pol's equation
    Buonomo, A
    SIAM JOURNAL ON APPLIED MATHEMATICS, 1998, 59 (01) : 156 - 171
  • [6] Computing the solutions of the van der Pol equation to arbitrary precision
    Amore, Paolo
    PHYSICA D-NONLINEAR PHENOMENA, 2022, 435
  • [7] Numerical solution to the van der Pol equation with fractional damping
    Konuralp, Ali
    Konuralp, Cigdem
    Yildirim, Ahmet
    PHYSICA SCRIPTA, 2009, T136
  • [8] STABILITY OF SUBHARMONICS AND BEHAVIOUR OF BIFURCATIONS TO CHAOS ON TORAL VAN DER POL EQUATION
    赵晓华
    李继彬
    Acta Mathematicae Applicatae Sinica(English Series), 1990, (01) : 88 - 96
  • [9] From Canards of Folded Singularities to Torus Canards in a Forced van der Pol Equation
    Burke, John
    Desroches, Mathieu
    Granados, Albert
    Kaper, Tasso J.
    Krupa, Martin
    Vo, Theodore
    JOURNAL OF NONLINEAR SCIENCE, 2016, 26 (02) : 405 - 451
  • [10] From Canards of Folded Singularities to Torus Canards in a Forced van der Pol Equation
    John Burke
    Mathieu Desroches
    Albert Granados
    Tasso J. Kaper
    Martin Krupa
    Theodore Vo
    Journal of Nonlinear Science, 2016, 26 : 405 - 451