Details
| Original language | English |
|---|---|
| Pages (from-to) | 457-462 |
| Number of pages | 6 |
| Journal | IFAC-PapersOnLine |
| Volume | 51 |
| Issue number | 2 |
| Publication status | Published - 3 May 2018 |
Abstract
In this contribution a canonical dissipative Nambu system with limit cycles is analyzed with a self-consistent Carleman linearization in order to obtain an approximation of the emerging limit cycle. In contrast to a numerical simulation, the limit cycle can be directly calculated with this approach. Since a weakly damped system is considered, the numerical integration is time consuming. Therefore, the proposed method can be used to determine directly the emerging limit cycle of the Nambu system without the consideration of the transient behavior yielding a faster method for the analysis of the steady state behavior.
Keywords
- Carleman linearization, limit cycle, Nambu, nonlinear, self-consistent
ASJC Scopus subject areas
- Engineering(all)
- Control and Systems Engineering
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In: IFAC-PapersOnLine, Vol. 51, No. 2, 03.05.2018, p. 457-462.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Analysis of Dissipative Nambu Systems with Limit Cycles Using a Self-consistent Carleman Linearization
AU - Weber, Harry
AU - Mathis, Richard
AU - Mathis, Wolfgang
N1 - Publisher Copyright: © 2018 Copyright: Copyright 2018 Elsevier B.V., All rights reserved.
PY - 2018/5/3
Y1 - 2018/5/3
N2 - In this contribution a canonical dissipative Nambu system with limit cycles is analyzed with a self-consistent Carleman linearization in order to obtain an approximation of the emerging limit cycle. In contrast to a numerical simulation, the limit cycle can be directly calculated with this approach. Since a weakly damped system is considered, the numerical integration is time consuming. Therefore, the proposed method can be used to determine directly the emerging limit cycle of the Nambu system without the consideration of the transient behavior yielding a faster method for the analysis of the steady state behavior.
AB - In this contribution a canonical dissipative Nambu system with limit cycles is analyzed with a self-consistent Carleman linearization in order to obtain an approximation of the emerging limit cycle. In contrast to a numerical simulation, the limit cycle can be directly calculated with this approach. Since a weakly damped system is considered, the numerical integration is time consuming. Therefore, the proposed method can be used to determine directly the emerging limit cycle of the Nambu system without the consideration of the transient behavior yielding a faster method for the analysis of the steady state behavior.
KW - Carleman linearization
KW - limit cycle
KW - Nambu
KW - nonlinear
KW - self-consistent
UR - http://www.scopus.com/inward/record.url?scp=85046670237&partnerID=8YFLogxK
U2 - 10.1016/j.ifacol.2018.03.101
DO - 10.1016/j.ifacol.2018.03.101
M3 - Article
AN - SCOPUS:85046670237
VL - 51
SP - 457
EP - 462
JO - IFAC-PapersOnLine
JF - IFAC-PapersOnLine
SN - 2405-8963
IS - 2
ER -