• DocumentCode
    3641822
  • Title

    Advanced parallel processing of Lyapunov exponents verified by practical circuit

  • Author

    Tomáš Götthans;Jiří Petržela;Zdeněk Hruboš

  • Author_Institution
    Dept. of Radio Electronics, Brno University of Technology, Purkyň
  • fYear
    2011
  • fDate
    4/1/2011 12:00:00 AM
  • Firstpage
    1
  • Lastpage
    4
  • Abstract
    An advanced method for parallel computation of Lyapunov exponents in nonlinear parameter dependent continuous dynamical systems is presented. For computing exponents MATLAB with Parallel Toolbox was used. A simplest physical chaotic flow published in [2] was chosen and mathematically analysed. Obtained equation´s parameters were calculated and synthesized into a circuit. Realization was implemented into a analog circuit and compared with the theory.
  • Keywords
    "Chaos","Jacobian matrices","Stability analysis","Nonlinear dynamical systems","Circuit stability","Parallel processing","Differential equations"
  • Publisher
    ieee
  • Conference_Titel
    Radioelektronika (RADIOELEKTRONIKA), 2011 21st International Conference
  • Print_ISBN
    978-1-61284-325-4
  • Type

    conf

  • DOI
    10.1109/RADIOELEK.2011.5936392
  • Filename
    5936392