Design and Analysis of a new chaotic system inspired on Duffing

Pedro Pancóatl-Bortolotti; Antonio H. Costa; Rogerio Enríquez-Caldera; Fermi Guerrero-Castellanos; Maribel Tello-Bello; Mónica López-Hernández

doi:10.1016/j.ifacol.2021.11.043

Design and Analysis of a new chaotic system inspired on Duffing

Pedro Pancóatl-Bortolotti^*
, Antonio H. Costa
, Rogerio Enríquez-Caldera^*
, Fermi Guerrero-Castellanos
, Maribel Tello-Bello
, Mónica López-Hernández^*

^*Autor correspondiente de este trabajo

Instituto Nacional de Astrofisica Optica y Electronica
University of Massachusetts Dartmouth
Benemerita Universidad Autonoma de Puebla

Producción científica: Contribución a una revista › Artículo de la conferencia

2 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	160-165
Número de páginas	6
Publicación	IFAC-PapersOnLine
Volumen	54
N.º	17
DOI	https://doi.org/10.1016/j.ifacol.2021.11.043
Estado	Publicada - 1 ene 2021
Evento	6th IFAC Conference on Analysis and Control of Chaotic Systems CHAOS 2021 - Catania, Italia Duración: 27 sept 2021 → 29 sept 2021

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title = "Design and Analysis of a new chaotic system inspired on Duffing",

abstract = "This research presents a second-order non-linear chaotic system created using the Li{\`e}nard'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.",

keywords = "Chaotic detectors, Duffing oscillator, Li{\`e}nard systems, Weak signal detection",

author = "Pedro Panc{\'o}atl-Bortolotti and Costa, \{Antonio H.\} and Rogerio Enr{\'i}quez-Caldera and Fermi Guerrero-Castellanos and Maribel Tello-Bello and M{\'o}nica L{\'o}pez-Hern{\'a}ndez",

note = "Publisher Copyright: Copyright {\textcopyright} 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/); 6th IFAC Conference on Analysis and Control of Chaotic Systems CHAOS 2021 ; Conference date: 27-09-2021 Through 29-09-2021",

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AU - Pancóatl-Bortolotti, Pedro

AU - Costa, Antonio H.

AU - Enríquez-Caldera, Rogerio

AU - Guerrero-Castellanos, Fermi

AU - Tello-Bello, Maribel

AU - López-Hernández, Mónica

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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

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U2 - 10.1016/j.ifacol.2021.11.043

DO - 10.1016/j.ifacol.2021.11.043

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SN - 2405-8963

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EP - 165

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

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T2 - 6th IFAC Conference on Analysis and Control of Chaotic Systems CHAOS 2021

Y2 - 27 September 2021 through 29 September 2021

ER -

Design and Analysis of a new chaotic system inspired on Duffing

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