An introductional lecture on chaotic systems through Lorenz attractor and forced Lotka Volterra equation for interdisciplinary education
Research output: Contributions to collected editions/works › Article in conference proceedings › Research › peer-review
Standard
SEFI 2022 - 50th Annual Conference of the European Society for Engineering Education, Proceedings. ed. / Hannu-Matti Jarvinen; Santiago Silvestre; Ariadna Llorens ; Balazs Vince Nagy. Barcellona: Universitat Politecnica de Catalunya, 2022. p. 412-419 (SEFI 2022 - 50th Annual Conference of the European Society for Engineering Education, Proceedings).
Research output: Contributions to collected editions/works › Article in conference proceedings › Research › peer-review
Harvard
APA
Vancouver
Bibtex
}
RIS
TY - CHAP
T1 - An introductional lecture on chaotic systems through Lorenz attractor and forced Lotka Volterra equation for interdisciplinary education
AU - Kim , Geunjeong
AU - Block, Brit-Maren
AU - Haus, Benedikt
AU - Mercorelli, Paolo
N1 - Conference code: 50
PY - 2022/9/1
Y1 - 2022/9/1
N2 - Is it possible to predict the future? How accurate is the prediction for the future? These questions are fascinating and intriguing ones in particular for young generations who look at their future with curiosity. For a long time, many have tried to quantitatively predict future behavior of systems more accurately with techniques such as time series analysis and derived dynamical models based on observed data. The paper proposes a lecture structure in which elements of chaos, which greatly impacts the predictive capabilities of dynamical models, are introduced through two classical examples of nonlinear dynamical systems, namely Lorenz attractor and Lotka-Volterra equations. In a possible lecture, these two structures are introduced in a basic and intuitive way, followed by equilibria analyses and Lyapunov control approaches. The paper intends to give a possible structure of an interdisciplinary lecture in chaotic systems, for all students in general and non-engineering students in particular, to kindle students' interest in challenging ideas and models. By presenting an intuitive learning-based approach and the results of the implementation, the paper contributes to the discourse on interdisciplinary education. The lecture is a part of a course within a Complementary Study at Leuphana Unversity of Lüneburg. The material which inspired the proposed lecture structure is taken from the scripts of the Master Complementary Course titled Modelling and Control of Dynamical Systems using Linear and Nonlinear Differential Equations held at Leuphana University of Lüneburg. © 2022 SEFI 2022 - 50th Annual Conference of the European Society for Engineering Education, Proceedings. All rights reserved.
AB - Is it possible to predict the future? How accurate is the prediction for the future? These questions are fascinating and intriguing ones in particular for young generations who look at their future with curiosity. For a long time, many have tried to quantitatively predict future behavior of systems more accurately with techniques such as time series analysis and derived dynamical models based on observed data. The paper proposes a lecture structure in which elements of chaos, which greatly impacts the predictive capabilities of dynamical models, are introduced through two classical examples of nonlinear dynamical systems, namely Lorenz attractor and Lotka-Volterra equations. In a possible lecture, these two structures are introduced in a basic and intuitive way, followed by equilibria analyses and Lyapunov control approaches. The paper intends to give a possible structure of an interdisciplinary lecture in chaotic systems, for all students in general and non-engineering students in particular, to kindle students' interest in challenging ideas and models. By presenting an intuitive learning-based approach and the results of the implementation, the paper contributes to the discourse on interdisciplinary education. The lecture is a part of a course within a Complementary Study at Leuphana Unversity of Lüneburg. The material which inspired the proposed lecture structure is taken from the scripts of the Master Complementary Course titled Modelling and Control of Dynamical Systems using Linear and Nonlinear Differential Equations held at Leuphana University of Lüneburg. © 2022 SEFI 2022 - 50th Annual Conference of the European Society for Engineering Education, Proceedings. All rights reserved.
KW - Engineering
KW - Interdisciplinary engineering education
KW - theory-based engineering course
KW - practice-based learning concepts
UR - http://www.scopus.com/inward/record.url?scp=85147500982&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/eb464bb5-d954-3c25-aca2-d5b4981bfe18/
U2 - 10.5821/conference-9788412322262.1457
DO - 10.5821/conference-9788412322262.1457
M3 - Article in conference proceedings
T3 - SEFI 2022 - 50th Annual Conference of the European Society for Engineering Education, Proceedings
SP - 412
EP - 419
BT - SEFI 2022 - 50th Annual Conference of the European Society for Engineering Education, Proceedings
A2 - Jarvinen, Hannu-Matti
A2 - Silvestre, Santiago
A2 - Llorens , Ariadna
A2 - Nagy, Balazs Vince
PB - Universitat Politecnica de Catalunya
CY - Barcellona
T2 - SEFI 50th Annual Conference
Y2 - 19 September 2022 through 22 September 2022
ER -