Anatomy of Chua's System - Nonlinear Dynamic Electronics for Chaos in the Lab

Manuel Schimmack; Paolo Mercorelli

doi:10.1016/j.ifacol.2022.09.296

Anatomy of Chua's System - Nonlinear Dynamic Electronics for Chaos in the Lab

Research output: Journal contributions › Conference article in journal › Research

Standard

Anatomy of Chua's System - Nonlinear Dynamic Electronics for Chaos in the Lab. / Schimmack, Manuel ; Mercorelli, Paolo.
In: IFAC-PapersOnLine, Vol. 55, No. 17, 01.07.2022, p. 302-307.

Research output: Journal contributions › Conference article in journal › Research

Bibtex

@article{e07cadca2fd64a1d8a0e849d5c4bcb17,

title = "Anatomy of Chua's System - Nonlinear Dynamic Electronics for Chaos in the Lab",

abstract = "This paper gives an insight into the workings of inductorless Chua's circuit in the context of education. The objective is to integrate teaching and research by promoting chaotic oscillators, circuit design, signal processing and control as a field that embraces science, technology, engineering and mathematics (STEM). In more detail, this contribution showcases a possible structure of the basic principle for nonlinear dynamics. An analysis based on Jacobian method is used to locally characterize the dynamical behavior at the undergraduate level in form of a workshop in the lab. Emphasis is given to the electrical components and circuital conditions and their possible interpretation of Chua's circuit in order to enable chaotic dynamics. Furthermore, it shows some historical background and presents the field of wide-ranging applications to combine appropriate didactic aspects of control with integrated circuits and hardware prototyping. The idea is to propose to students a challenging topic because of its intrinsic mathematical and physical nature but in the meantime giving a real tangibility to the paradox of intriguing phenomena.",

keywords = "Engineering, Nonlinear-dynamic electronics, Chua{\textquoteright}s circuits, Double-scroll attractor, Control lab",

author = "Manuel Schimmack and Paolo Mercorelli",

note = "Publisher Copyright: {\textcopyright} 2022 The Authors.; 13th IFAC Symposium on Advances in Control Education - ACE 2022, ACE 2022 ; Conference date: 24-07-2022 Through 27-07-2022",

year = "2022",

month = jul,

day = "1",

doi = "10.1016/j.ifacol.2022.09.296",

language = "English",

volume = "55",

pages = "302--307",

journal = "IFAC-PapersOnLine",

issn = "2405-8971",

publisher = "Elsevier B.V.",

number = "17",

url = "https://www.ifac-control.org/conferences/advances-in-control-education-13th-ace-2022tm, https://ace2022.org/",

}

RIS

TY - JOUR

T1 - Anatomy of Chua's System - Nonlinear Dynamic Electronics for Chaos in the Lab

AU - Schimmack, Manuel

AU - Mercorelli, Paolo

N1 - Conference code: 13

PY - 2022/7/1

Y1 - 2022/7/1

N2 - This paper gives an insight into the workings of inductorless Chua's circuit in the context of education. The objective is to integrate teaching and research by promoting chaotic oscillators, circuit design, signal processing and control as a field that embraces science, technology, engineering and mathematics (STEM). In more detail, this contribution showcases a possible structure of the basic principle for nonlinear dynamics. An analysis based on Jacobian method is used to locally characterize the dynamical behavior at the undergraduate level in form of a workshop in the lab. Emphasis is given to the electrical components and circuital conditions and their possible interpretation of Chua's circuit in order to enable chaotic dynamics. Furthermore, it shows some historical background and presents the field of wide-ranging applications to combine appropriate didactic aspects of control with integrated circuits and hardware prototyping. The idea is to propose to students a challenging topic because of its intrinsic mathematical and physical nature but in the meantime giving a real tangibility to the paradox of intriguing phenomena.

AB - This paper gives an insight into the workings of inductorless Chua's circuit in the context of education. The objective is to integrate teaching and research by promoting chaotic oscillators, circuit design, signal processing and control as a field that embraces science, technology, engineering and mathematics (STEM). In more detail, this contribution showcases a possible structure of the basic principle for nonlinear dynamics. An analysis based on Jacobian method is used to locally characterize the dynamical behavior at the undergraduate level in form of a workshop in the lab. Emphasis is given to the electrical components and circuital conditions and their possible interpretation of Chua's circuit in order to enable chaotic dynamics. Furthermore, it shows some historical background and presents the field of wide-ranging applications to combine appropriate didactic aspects of control with integrated circuits and hardware prototyping. The idea is to propose to students a challenging topic because of its intrinsic mathematical and physical nature but in the meantime giving a real tangibility to the paradox of intriguing phenomena.

KW - Engineering

KW - Nonlinear-dynamic electronics

KW - Chua’s circuits

KW - Double-scroll attractor

KW - Control lab

UR - http://www.scopus.com/inward/record.url?scp=85142244692&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/1bdddcc4-05c1-3015-a857-d6dcaab6bccc/

U2 - 10.1016/j.ifacol.2022.09.296

DO - 10.1016/j.ifacol.2022.09.296

M3 - Conference article in journal

VL - 55

SP - 302

EP - 307

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

SN - 2405-8971

IS - 17

T2 - 13th IFAC Symposium on Advances in Control Education - ACE 2022

Y2 - 24 July 2022 through 27 July 2022

ER -