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.
Volume 96, 2022
Continuous Article Publishing mode
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