• Nonlinear oscillators with state variable damping and elastic coefficients

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      https://www.ias.ac.in/article/fulltext/pram/095/0210

    • Keywords

       

      Chaotic behaviour; limit cycle behaviour; damped nonlinear oscillators with elastic coefficients; artificial pacemaker; state variable damping; ATMEGA328P microcontroller.

    • Abstract

       

      In the present work, we investigate the chaotic and limit-cycle behaviour of the new models of damped nonlinear oscillators with elastic coefficients. The study concerning the stability of these models in their autonomous state presents periodical regions of stability and instability, a very rich dynamical behaviour. The analytical investigations on the existence of limit cycles show that a periodic solution (and therefore a limit cycle) in the (x, y)-plane encompasses the origin. These models can be used to describe with some approximations, the artificial pacemaker. The chaos analysis shows the effect of state variable damping and elastic coefficient on the appearance of chaotic dynamics. Due to the complexity of the analogical functions, an experimental study was made by real implementation of an Arduino Card based on the Runge–Kutta algorithm of order 4. The results obtained show a good correlation with numerical results.

    • Author Affiliations

       

      R F FONKOU1 2 PATRICK LOUODOP1 P K TALLA2

      1. Research Unit Condensed Matter, Electronics and Signal Processing, Université de Dschang, P.O. Box 67, Dschang, Cameroon
      2. UR de Mécanique et de Modélisation des Systèmes Physiques (UR-2MSP), UFR/DSST, Université de Dschang, BP 67, Dschang, Cameroun
    • Dates

       
  • Pramana – Journal of Physics | News

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