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On transformation to the singularly perturbed system

Bykov, V. ORCID iD icon 1
1 Institut für Technische Thermodynamik (ITT), Karlsruher Institut für Technologie (KIT)

Abstract:

A rapid progress in hard- and software development of computational facilities as well as in numerical methods has increased the role of numerical simulations in the quantitative system analysis of many engineering problems. At the same time, the system complexity (in terms of dimensionality and non-linearity) has grown considerably increasing demand for automatic methods of analysis of qualitative system behavior. For instance, nowadays, definition of key system parameters controlling the system dynamics and finding critical regimes automatically have become crucial issue of numerical system analysis. In the present paper a transformation to the Singularly Perturbed System (SPS) as a main theoretical framework to cope with the complexity and high dimensionality will be discussed in detail. Both simple but famous and meaningful model example of Van der Pol oscillator and an example of application to numerical analysis of chemical kinetics mechanisms will be used to show the potential of the suggested framework.


Verlagsausgabe §
DOI: 10.5445/IR/1000035179
Veröffentlicht am 18.04.2018
Originalveröffentlichung
DOI: 10.1088/1742-6596/268/1/012003
Scopus
Zitationen: 1
Dimensions
Zitationen: 1
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Technische Thermodynamik (ITT)
Publikationstyp Zeitschriftenaufsatz
Publikationsjahr 2011
Sprache Englisch
Identifikator ISSN: 1742-6588, 1742-6596
urn:nbn:de:swb:90-351792
KITopen-ID: 1000035179
Erschienen in Journal of physics / Conference Series
Verlag Institute of Physics Publishing Ltd (IOP Publishing Ltd)
Band 268
Heft 1
Seiten 012003/1-12
Nachgewiesen in Scopus
Dimensions
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