TY - JOUR
T1 - Design and Analysis of a new chaotic system inspired on Duffing
AU - Pancóatl-Bortolotti, Pedro
AU - Costa, Antonio H.
AU - Enríquez-Caldera, Rogerio
AU - Guerrero-Castellanos, Fermi
AU - Tello-Bello, Maribel
AU - López-Hernández, Mónica
N1 - Publisher Copyright:
Copyright © 2021 The Authors. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0/)
PY - 2021/1/1
Y1 - 2021/1/1
N2 - This research presents a second-order non-linear chaotic system created using the Liènard's theorem and combining trigonometric functions with the Duffing oscillator. The system's parameters are properly chosen to assure a stable limit cycle with Lyapunov Exponents to generate chaotic and periodic trajectories in the phase space. Then the system is configured to operate in the state of intermittence for stationary frequency identification even at a signal-to-noise ratio of around -50 dB.
AB - This research presents a second-order non-linear chaotic system created using the Liènard's theorem and combining trigonometric functions with the Duffing oscillator. The system's parameters are properly chosen to assure a stable limit cycle with Lyapunov Exponents to generate chaotic and periodic trajectories in the phase space. Then the system is configured to operate in the state of intermittence for stationary frequency identification even at a signal-to-noise ratio of around -50 dB.
KW - Chaotic detectors
KW - Duffing oscillator
KW - Liènard systems
KW - Weak signal detection
UR - http://www.scopus.com/inward/record.url?scp=85120859689&partnerID=8YFLogxK
U2 - 10.1016/j.ifacol.2021.11.043
DO - 10.1016/j.ifacol.2021.11.043
M3 - Artículo de la conferencia
AN - SCOPUS:85120859689
SN - 2405-8963
VL - 54
SP - 160
EP - 165
JO - IFAC-PapersOnLine
JF - IFAC-PapersOnLine
IS - 17
T2 - 6th IFAC Conference on Analysis and Control of Chaotic Systems CHAOS 2021
Y2 - 27 September 2021 through 29 September 2021
ER -