TY - JOUR
T1 - A Novel Chaotic System based on Binomial Functions for Detection of Ultra Weak Signals.
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 new 2nd order non-linear chaotic system that is created using the Liènard Theorem and binomial functions. The systems parameters are properly chosen to assure a stable limit cycle and simultaneously bifurcation diagrams are conjugated together 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 detection of ultra-weak signals. Computer model simulations provide encouraging results for detection of signals with signal-to-noise ratio of -45 dB. As a parallel result, a new method named Short Time Inspired Lyapunov exponent (STILE), is presented as an efficient way to detect intermittence in time sequences.
AB - This research presents a new 2nd order non-linear chaotic system that is created using the Liènard Theorem and binomial functions. The systems parameters are properly chosen to assure a stable limit cycle and simultaneously bifurcation diagrams are conjugated together 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 detection of ultra-weak signals. Computer model simulations provide encouraging results for detection of signals with signal-to-noise ratio of -45 dB. As a parallel result, a new method named Short Time Inspired Lyapunov exponent (STILE), is presented as an efficient way to detect intermittence in time sequences.
KW - Binomial functions
KW - Chaotic Oscillators
KW - Liènard Systems
KW - STILE
KW - Weak signal detection
UR - http://www.scopus.com/inward/record.url?scp=85120651811&partnerID=8YFLogxK
U2 - 10.1016/j.ifacol.2021.10.336
DO - 10.1016/j.ifacol.2021.10.336
M3 - Artículo de la conferencia
AN - SCOPUS:85120651811
SN - 2405-8963
VL - 54
SP - 102
EP - 107
JO - IFAC-PapersOnLine
JF - IFAC-PapersOnLine
IS - 14
T2 - 3rd IFAC Conference on Modelling, Identification and Control of Nonlinear Systems MICNON 2021
Y2 - 15 September 2021 through 17 September 2021
ER -