Nonlinear oscillators with state variable damping and elastic coefficients

Dynamical behavior analysis of the heart system by the bifurcation structures

“…Based on these oscillators, a large number of works on the heart in its perturbed state have been carried out. This is the case of Fonkou et al [ 46 , 47 ]. Let us also note the work of Krstacić et al [ 48 ], Ernst and Bar-Joseph [ 49 ], Tobon et al [ 50 ], Shiraishi et al [ 51 ], Savi [ 52 ].…”

“…25 – 30 show a good qualitative agreement between the numerical simulation and the real microcontroller implementation. As in the case of conventional wiring to produce the ECG signal using an oscillator network with electronic components mounted on a breadboard [ 54 ], since the heart nodes are considered as electronic chips and references [ 47 ] have shown the ability of microcontrollers to mimic the behavior of pacemakers, using a network of four microcontrollers each representing a heart node and the ECG, the results obtained show the ability to use microcontroller technology to capture heart rhythms.…”

Analysis of the dynamics of new models of nonlinear systems with state variable damping and elastic coefficients

“…Microcontroller simulation is one of the simplest because it is performed using a computer in which suitable simulation software is installed. Recent work has shown that it can be used to do electronics using just a programming language ( Fonkou et al, 2021a , Fonkou et al, 2021b , Fonkou et al, 2021c ). Experimentally, it is less cumbersome and requires significant period savings for component wiring, a higher degree of integration, and lower power consumption.…”

“…A microcontroller is an integrated circuit that gathers the essential elements of a computer. Recent work has shown that microcontrollers can be used to simulate nonlinear differential equations ( Fonkou et al, 2021a , Fonkou et al, 2021b , Fonkou et al, 2021c ) by producing simple and complex electrical signals. Compared to conventional electronic systems based on separate components, they can reduce the size of the components, as well as the cost of the products.…”

Dynamical behavior analysis of the Van der Pol oscillator with sine nonlinearity subjected to non-sinusoidal periodic excitations by the bifurcation structures

“…One of these oscillator is the Van der Pol oscillator [33]. It is the starting point for the modelling of several other models of non-linear oscillators [34][35][36][37][38][39][40]. It has also been used to model artificial pacemakers [41,42], in neurophysiology [43], in seismology [44], in communication [45], and so on.…”