TY - JOUR
AU - Pancoatl-Bortolotti, Pedro
AU - Enríquez-Caldera, Rogerio A.
AU - Costa, Antonio H.
AU - Guerrero-Castellanos, José Fermi
AU - Tello-Bello, Maribel
PY - 2022/05/11
Y2 - 2022/08/14
TI - Liènard chaotic system based on Duffing and the Sinc function for weak signals detection
JF - IEEE Latin America Transactions
JA - IEEE LAT AM T
VL - 20
IS - 8
SE - Electronics
DO -
UR - https://latamt.ieeer9.org/index.php/transactions/article/view/6496
SP - 2114-2121
AB - <p>This article presents a modified Duffing system based on Liènard´s Theorem and the integral of Melnikov, the first is used to propose the interpolation ´Sinc´ as a non-linear damping function and the second is used to assure an asymptotically stable limit cycle. The Sin-Duffing system is driven into chaos by using its corresponding bifurcation diagram, Lyapunov exponents, and the Theory of Melnikov. Furthermore, the system is placed in a critical state which produced chaotic and periodic sequences, driving it into a regimen of intermittence between chaos and the self-sustained oscillations near the stable limit cycle. Intermittence is achieved by searching and tuning all involved parameters when a very systematic procedure is used. Also, such a regimen is presented here as a useful mechanism to estimate the frequency of a very low weak signal for detection applications. The latest is made possible because the system capabilities to distinguish the intermittent periods were strengthened by a new method based on Melnikov´s function that only depends on the most influential parameter in the type-Liènard system. The complete system formed by the new Sinc-Duffing oscillator showed higher sensitivity compere to other chaotic systems such as the traditional Duffing or the Van der Pol-Duffing for weak signal detection with a signal-to-noise ratio down to -70 dB.</p>
ER -