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^*

^*Autore corrispondente per questo lavoro

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

Risultato della ricerca

2 Citazioni (Scopus)

Abstract

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.

Lingua originale	English
pagine (da-a)	160-165
Numero di pagine	6
Rivista	IFAC-PapersOnLine
Volume	54
Numero di pubblicazione	17
DOI	https://doi.org/10.1016/j.ifacol.2021.11.043
Stato di pubblicazione	Published - 1 gen 2021
Evento	6th IFAC Conference on Analysis and Control of Chaotic Systems CHAOS 2021 - Catania Durata: 27 set 2021 → 29 set 2021

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10.1016/j.ifacol.2021.11.043

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https://www.scopus.com/pages/publications/85120859689

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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",

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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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DO - 10.1016/j.ifacol.2021.11.043

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SN - 2405-8963

VL - 54

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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

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Design and Analysis of a new chaotic system inspired on Duffing

Abstract

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